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Finding the Fourth Proportional to 642.72, 962.19 and 398.46

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Solution

The fourth proportional to 642.72, 962.19 and 398.46 is: 596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 962.19 = 398.46 : x
  2. Step 2: Convert to fraction form
    642.72/962.19 = 398.46/x
  3. Step 3: Cross multiply
    642.72x = 962.19 × 398.46
  4. Step 4: Simplify right side
    642.72x = 383,394.23
  5. Step 5: Solve for x
    x = 383,394.23/642.72
  6. Step 6: Final answer
    x = 596.52

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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.