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Finding the Fourth Proportional to 1,117.43, 1,541.13 and 762.75

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Solution

The fourth proportional to 1,117.43, 1,541.13 and 762.75 is: 1,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.43 : 1,541.13 = 762.75 : x
  2. Step 2: Convert to fraction form
    1,117.43/1,541.13 = 762.75/x
  3. Step 3: Cross multiply
    1,117.43x = 1,541.13 × 762.75
  4. Step 4: Simplify right side
    1,117.43x = 1,175,494.05
  5. Step 5: Solve for x
    x = 1,175,494.05/1,117.43
  6. Step 6: Final answer
    x = 1,051.96

Related Problems

Find fourth proportional to 558.71, 770.56 and 381.38
Half scale
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Double scale
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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.