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Finding the Fourth Proportional to 1,008.20, 1,512.53 and 422.87

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Solution

The fourth proportional to 1,008.20, 1,512.53 and 422.87 is: 634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.20 : 1,512.53 = 422.87 : x
  2. Step 2: Convert to fraction form
    1,008.20/1,512.53 = 422.87/x
  3. Step 3: Cross multiply
    1,008.20x = 1,512.53 × 422.87
  4. Step 4: Simplify right side
    1,008.20x = 639,593.88
  5. Step 5: Solve for x
    x = 639,593.88/1,008.20
  6. Step 6: Final answer
    x = 634.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.