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Finding the Fourth Proportional to 664.64, 1,002.40 and 657.36

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Solution

The fourth proportional to 664.64, 1,002.40 and 657.36 is: 991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.64 : 1,002.40 = 657.36 : x
  2. Step 2: Convert to fraction form
    664.64/1,002.40 = 657.36/x
  3. Step 3: Cross multiply
    664.64x = 1,002.40 × 657.36
  4. Step 4: Simplify right side
    664.64x = 658,937.66
  5. Step 5: Solve for x
    x = 658,937.66/664.64
  6. Step 6: Final answer
    x = 991.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.