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Finding the Fourth Proportional to 642.08, 962.04 and 398

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Solution

The fourth proportional to 642.08, 962.04 and 398 is: 596.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.08 : 962.04 = 398 : x
  2. Step 2: Convert to fraction form
    642.08/962.04 = 398/x
  3. Step 3: Cross multiply
    642.08x = 962.04 × 398
  4. Step 4: Simplify right side
    642.08x = 382,891.92
  5. Step 5: Solve for x
    x = 382,891.92/642.08
  6. Step 6: Final answer
    x = 596.33

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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.