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Finding the Fourth Proportional to 667.34, 1,001.67 and 424.04

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Solution

The fourth proportional to 667.34, 1,001.67 and 424.04 is: 636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.34 : 1,001.67 = 424.04 : x
  2. Step 2: Convert to fraction form
    667.34/1,001.67 = 424.04/x
  3. Step 3: Cross multiply
    667.34x = 1,001.67 × 424.04
  4. Step 4: Simplify right side
    667.34x = 424,741.55
  5. Step 5: Solve for x
    x = 424,741.55/667.34
  6. Step 6: Final answer
    x = 636.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.