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Finding the Fourth Proportional to 1,450.76, 1,999.72 and 1,135.48

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Solution

The fourth proportional to 1,450.76, 1,999.72 and 1,135.48 is: 1,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.76 : 1,999.72 = 1,135.48 : x
  2. Step 2: Convert to fraction form
    1,450.76/1,999.72 = 1,135.48/x
  3. Step 3: Cross multiply
    1,450.76x = 1,999.72 × 1,135.48
  4. Step 4: Simplify right side
    1,450.76x = 2,270,642.07
  5. Step 5: Solve for x
    x = 2,270,642.07/1,450.76
  6. Step 6: Final answer
    x = 1,565.14

Related Problems

Find fourth proportional to 725.38, 999.86 and 567.74
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.