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Finding the Fourth Proportional to 1,032.68, 1,425.29 and 659.78

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Solution

The fourth proportional to 1,032.68, 1,425.29 and 659.78 is: 910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.68 : 1,425.29 = 659.78 : x
  2. Step 2: Convert to fraction form
    1,032.68/1,425.29 = 659.78/x
  3. Step 3: Cross multiply
    1,032.68x = 1,425.29 × 659.78
  4. Step 4: Simplify right side
    1,032.68x = 940,377.84
  5. Step 5: Solve for x
    x = 940,377.84/1,032.68
  6. Step 6: Final answer
    x = 910.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.