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Finding the Fourth Proportional to 1,002.01, 1,381.97 and 628.87

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Solution

The fourth proportional to 1,002.01, 1,381.97 and 628.87 is: 867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.01 : 1,381.97 = 628.87 : x
  2. Step 2: Convert to fraction form
    1,002.01/1,381.97 = 628.87/x
  3. Step 3: Cross multiply
    1,002.01x = 1,381.97 × 628.87
  4. Step 4: Simplify right side
    1,002.01x = 869,079.47
  5. Step 5: Solve for x
    x = 869,079.47/1,002.01
  6. Step 6: Final answer
    x = 867.34

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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.