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Finding the Fourth Proportional to 807.91, 1,114.28 and 542.26

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Solution

The fourth proportional to 807.91, 1,114.28 and 542.26 is: 747.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.91 : 1,114.28 = 542.26 : x
  2. Step 2: Convert to fraction form
    807.91/1,114.28 = 542.26/x
  3. Step 3: Cross multiply
    807.91x = 1,114.28 × 542.26
  4. Step 4: Simplify right side
    807.91x = 604,230.19
  5. Step 5: Solve for x
    x = 604,230.19/807.91
  6. Step 6: Final answer
    x = 747.90

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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.