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Finding the Fourth Proportional to 668.64, 1,003.86 and 424.56

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Solution

The fourth proportional to 668.64, 1,003.86 and 424.56 is: 637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.64 : 1,003.86 = 424.56 : x
  2. Step 2: Convert to fraction form
    668.64/1,003.86 = 424.56/x
  3. Step 3: Cross multiply
    668.64x = 1,003.86 × 424.56
  4. Step 4: Simplify right side
    668.64x = 426,198.80
  5. Step 5: Solve for x
    x = 426,198.80/668.64
  6. Step 6: Final answer
    x = 637.41

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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.