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Finding the Fourth Proportional to 1,006.14, 1,508.67 and 451.02

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Solution

The fourth proportional to 1,006.14, 1,508.67 and 451.02 is: 676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.14 : 1,508.67 = 451.02 : x
  2. Step 2: Convert to fraction form
    1,006.14/1,508.67 = 451.02/x
  3. Step 3: Cross multiply
    1,006.14x = 1,508.67 × 451.02
  4. Step 4: Simplify right side
    1,006.14x = 680,440.34
  5. Step 5: Solve for x
    x = 680,440.34/1,006.14
  6. Step 6: Final answer
    x = 676.29

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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.