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Finding the Fourth Proportional to 728.52, 1,002.83 and 633.93

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Solution

The fourth proportional to 728.52, 1,002.83 and 633.93 is: 872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.52 : 1,002.83 = 633.93 : x
  2. Step 2: Convert to fraction form
    728.52/1,002.83 = 633.93/x
  3. Step 3: Cross multiply
    728.52x = 1,002.83 × 633.93
  4. Step 4: Simplify right side
    728.52x = 635,724.02
  5. Step 5: Solve for x
    x = 635,724.02/728.52
  6. Step 6: Final answer
    x = 872.62

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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.