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Finding the Fourth Proportional to 1,006.26, 1,508.77 and 659.17

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Solution

The fourth proportional to 1,006.26, 1,508.77 and 659.17 is: 988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.26 : 1,508.77 = 659.17 : x
  2. Step 2: Convert to fraction form
    1,006.26/1,508.77 = 659.17/x
  3. Step 3: Cross multiply
    1,006.26x = 1,508.77 × 659.17
  4. Step 4: Simplify right side
    1,006.26x = 994,535.92
  5. Step 5: Solve for x
    x = 994,535.92/1,006.26
  6. Step 6: Final answer
    x = 988.35

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