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Finding the Fourth Proportional to 642.33, 961.10 and 382.47

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Solution

The fourth proportional to 642.33, 961.10 and 382.47 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 961.10 = 382.47 : x
  2. Step 2: Convert to fraction form
    642.33/961.10 = 382.47/x
  3. Step 3: Cross multiply
    642.33x = 961.10 × 382.47
  4. Step 4: Simplify right side
    642.33x = 367,594.85
  5. Step 5: Solve for x
    x = 367,594.85/642.33
  6. Step 6: Final answer
    x = 572.28

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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.