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Finding the Fourth Proportional to 807.48, 1,113.90 and 531

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Solution

The fourth proportional to 807.48, 1,113.90 and 531 is: 732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.48 : 1,113.90 = 531 : x
  2. Step 2: Convert to fraction form
    807.48/1,113.90 = 531/x
  3. Step 3: Cross multiply
    807.48x = 1,113.90 × 531
  4. Step 4: Simplify right side
    807.48x = 591,480.90
  5. Step 5: Solve for x
    x = 591,480.90/807.48
  6. Step 6: Final answer
    x = 732.50

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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.