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Finding the Fourth Proportional to 727.54, 1,001.82 and 658.08

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Solution

The fourth proportional to 727.54, 1,001.82 and 658.08 is: 906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.54 : 1,001.82 = 658.08 : x
  2. Step 2: Convert to fraction form
    727.54/1,001.82 = 658.08/x
  3. Step 3: Cross multiply
    727.54x = 1,001.82 × 658.08
  4. Step 4: Simplify right side
    727.54x = 659,277.71
  5. Step 5: Solve for x
    x = 659,277.71/727.54
  6. Step 6: Final answer
    x = 906.17

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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.