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Finding the Fourth Proportional to 1,005.31, 1,508.02 and 457.14

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Solution

The fourth proportional to 1,005.31, 1,508.02 and 457.14 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.31 : 1,508.02 = 457.14 : x
  2. Step 2: Convert to fraction form
    1,005.31/1,508.02 = 457.14/x
  3. Step 3: Cross multiply
    1,005.31x = 1,508.02 × 457.14
  4. Step 4: Simplify right side
    1,005.31x = 689,380.78
  5. Step 5: Solve for x
    x = 689,380.78/1,005.31
  6. Step 6: Final answer
    x = 685.74

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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.