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Finding the Fourth Proportional to 667.11, 1,001.75 and 424.11

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Solution

The fourth proportional to 667.11, 1,001.75 and 424.11 is: 636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.11 : 1,001.75 = 424.11 : x
  2. Step 2: Convert to fraction form
    667.11/1,001.75 = 424.11/x
  3. Step 3: Cross multiply
    667.11x = 1,001.75 × 424.11
  4. Step 4: Simplify right side
    667.11x = 424,852.19
  5. Step 5: Solve for x
    x = 424,852.19/667.11
  6. Step 6: Final answer
    x = 636.85

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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.