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Finding the Fourth Proportional to 642.53, 961.98 and 433.86

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Solution

The fourth proportional to 642.53, 961.98 and 433.86 is: 649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.53 : 961.98 = 433.86 : x
  2. Step 2: Convert to fraction form
    642.53/961.98 = 433.86/x
  3. Step 3: Cross multiply
    642.53x = 961.98 × 433.86
  4. Step 4: Simplify right side
    642.53x = 417,359.41
  5. Step 5: Solve for x
    x = 417,359.41/642.53
  6. Step 6: Final answer
    x = 649.55

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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.