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Finding the Fourth Proportional to 1,031.38, 1,422.96 and 658.64

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Solution

The fourth proportional to 1,031.38, 1,422.96 and 658.64 is: 908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.38 : 1,422.96 = 658.64 : x
  2. Step 2: Convert to fraction form
    1,031.38/1,422.96 = 658.64/x
  3. Step 3: Cross multiply
    1,031.38x = 1,422.96 × 658.64
  4. Step 4: Simplify right side
    1,031.38x = 937,218.37
  5. Step 5: Solve for x
    x = 937,218.37/1,031.38
  6. Step 6: Final answer
    x = 908.70

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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.