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Finding the Fourth Proportional to 728.86, 1,092.57 and 557.50

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Solution

The fourth proportional to 728.86, 1,092.57 and 557.50 is: 835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.86 : 1,092.57 = 557.50 : x
  2. Step 2: Convert to fraction form
    728.86/1,092.57 = 557.50/x
  3. Step 3: Cross multiply
    728.86x = 1,092.57 × 557.50
  4. Step 4: Simplify right side
    728.86x = 609,107.78
  5. Step 5: Solve for x
    x = 609,107.78/728.86
  6. Step 6: Final answer
    x = 835.70

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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.