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Finding the Fourth Proportional to 728.93, 1,005.72 and 658.77

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Solution

The fourth proportional to 728.93, 1,005.72 and 658.77 is: 908.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.93 : 1,005.72 = 658.77 : x
  2. Step 2: Convert to fraction form
    728.93/1,005.72 = 658.77/x
  3. Step 3: Cross multiply
    728.93x = 1,005.72 × 658.77
  4. Step 4: Simplify right side
    728.93x = 662,531.92
  5. Step 5: Solve for x
    x = 662,531.92/728.93
  6. Step 6: Final answer
    x = 908.91

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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.