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Finding the Fourth Proportional to 728.46, 1,005.33 and 417.96

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Solution

The fourth proportional to 728.46, 1,005.33 and 417.96 is: 576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.46 : 1,005.33 = 417.96 : x
  2. Step 2: Convert to fraction form
    728.46/1,005.33 = 417.96/x
  3. Step 3: Cross multiply
    728.46x = 1,005.33 × 417.96
  4. Step 4: Simplify right side
    728.46x = 420,187.73
  5. Step 5: Solve for x
    x = 420,187.73/728.46
  6. Step 6: Final answer
    x = 576.82

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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.