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Finding the Fourth Proportional to 667.68, 1,002 and 424.48

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Solution

The fourth proportional to 667.68, 1,002 and 424.48 is: 637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 1,002 = 424.48 : x
  2. Step 2: Convert to fraction form
    667.68/1,002 = 424.48/x
  3. Step 3: Cross multiply
    667.68x = 1,002 × 424.48
  4. Step 4: Simplify right side
    667.68x = 425,328.96
  5. Step 5: Solve for x
    x = 425,328.96/667.68
  6. Step 6: Final answer
    x = 637.03

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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.