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Finding the Fourth Proportional to 613.92, 921.52 and 397.68

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Solution

The fourth proportional to 613.92, 921.52 and 397.68 is: 596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.92 : 921.52 = 397.68 : x
  2. Step 2: Convert to fraction form
    613.92/921.52 = 397.68/x
  3. Step 3: Cross multiply
    613.92x = 921.52 × 397.68
  4. Step 4: Simplify right side
    613.92x = 366,470.07
  5. Step 5: Solve for x
    x = 366,470.07/613.92
  6. Step 6: Final answer
    x = 596.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.