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Finding the Fourth Proportional to 1,031.01, 1,422.41 and 658.01

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Solution

The fourth proportional to 1,031.01, 1,422.41 and 658.01 is: 907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.01 : 1,422.41 = 658.01 : x
  2. Step 2: Convert to fraction form
    1,031.01/1,422.41 = 658.01/x
  3. Step 3: Cross multiply
    1,031.01x = 1,422.41 × 658.01
  4. Step 4: Simplify right side
    1,031.01x = 935,949.60
  5. Step 5: Solve for x
    x = 935,949.60/1,031.01
  6. Step 6: Final answer
    x = 907.80

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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.