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Finding the Fourth Proportional to 1,448.23, 1,998.57 and 818.76

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Solution

The fourth proportional to 1,448.23, 1,998.57 and 818.76 is: 1,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.23 : 1,998.57 = 818.76 : x
  2. Step 2: Convert to fraction form
    1,448.23/1,998.57 = 818.76/x
  3. Step 3: Cross multiply
    1,448.23x = 1,998.57 × 818.76
  4. Step 4: Simplify right side
    1,448.23x = 1,636,349.17
  5. Step 5: Solve for x
    x = 1,636,349.17/1,448.23
  6. Step 6: Final answer
    x = 1,129.90

Related Problems

Find fourth proportional to 724.12, 999.29 and 409.38
Half scale
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Double scale
Find fourth proportional to 1,449.23, 1,999.95 and 819.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.