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Finding the Fourth Proportional to 728.04, 1,002.50 and 658.58

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Solution

The fourth proportional to 728.04, 1,002.50 and 658.58 is: 906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.04 : 1,002.50 = 658.58 : x
  2. Step 2: Convert to fraction form
    728.04/1,002.50 = 658.58/x
  3. Step 3: Cross multiply
    728.04x = 1,002.50 × 658.58
  4. Step 4: Simplify right side
    728.04x = 660,226.45
  5. Step 5: Solve for x
    x = 660,226.45/728.04
  6. Step 6: Final answer
    x = 906.85

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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.