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Finding the Fourth Proportional to 812.25, 1,120.57 and 532.14

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Solution

The fourth proportional to 812.25, 1,120.57 and 532.14 is: 734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,120.57 = 532.14 : x
  2. Step 2: Convert to fraction form
    812.25/1,120.57 = 532.14/x
  3. Step 3: Cross multiply
    812.25x = 1,120.57 × 532.14
  4. Step 4: Simplify right side
    812.25x = 596,294.59
  5. Step 5: Solve for x
    x = 596,294.59/812.25
  6. Step 6: Final answer
    x = 734.13

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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.