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Finding the Fourth Proportional to 807.64, 1,113.78 and 542.68

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Solution

The fourth proportional to 807.64, 1,113.78 and 542.68 is: 748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.64 : 1,113.78 = 542.68 : x
  2. Step 2: Convert to fraction form
    807.64/1,113.78 = 542.68/x
  3. Step 3: Cross multiply
    807.64x = 1,113.78 × 542.68
  4. Step 4: Simplify right side
    807.64x = 604,426.13
  5. Step 5: Solve for x
    x = 604,426.13/807.64
  6. Step 6: Final answer
    x = 748.39

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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.