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Finding the Fourth Proportional to 728.89, 1,092.52 and 566.17

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Solution

The fourth proportional to 728.89, 1,092.52 and 566.17 is: 848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.89 : 1,092.52 = 566.17 : x
  2. Step 2: Convert to fraction form
    728.89/1,092.52 = 566.17/x
  3. Step 3: Cross multiply
    728.89x = 1,092.52 × 566.17
  4. Step 4: Simplify right side
    728.89x = 618,550.02
  5. Step 5: Solve for x
    x = 618,550.02/728.89
  6. Step 6: Final answer
    x = 848.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.