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Finding the Fourth Proportional to 885.32, 1,327 and 642.90

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Solution

The fourth proportional to 885.32, 1,327 and 642.90 is: 963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.32 : 1,327 = 642.90 : x
  2. Step 2: Convert to fraction form
    885.32/1,327 = 642.90/x
  3. Step 3: Cross multiply
    885.32x = 1,327 × 642.90
  4. Step 4: Simplify right side
    885.32x = 853,128.30
  5. Step 5: Solve for x
    x = 853,128.30/885.32
  6. Step 6: Final answer
    x = 963.64

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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.