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Finding the Fourth Proportional to 667.13, 1,001.12 and 282.38

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Solution

The fourth proportional to 667.13, 1,001.12 and 282.38 is: 423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 1,001.12 = 282.38 : x
  2. Step 2: Convert to fraction form
    667.13/1,001.12 = 282.38/x
  3. Step 3: Cross multiply
    667.13x = 1,001.12 × 282.38
  4. Step 4: Simplify right side
    667.13x = 282,689.85
  5. Step 5: Solve for x
    x = 282,689.85/667.13
  6. Step 6: Final answer
    x = 423.74

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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.