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Finding the Fourth Proportional to 642.41, 961.97 and 512.60

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Solution

The fourth proportional to 642.41, 961.97 and 512.60 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.41 : 961.97 = 512.60 : x
  2. Step 2: Convert to fraction form
    642.41/961.97 = 512.60/x
  3. Step 3: Cross multiply
    642.41x = 961.97 × 512.60
  4. Step 4: Simplify right side
    642.41x = 493,098.45
  5. Step 5: Solve for x
    x = 493,098.45/642.41
  6. Step 6: Final answer
    x = 767.58

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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.