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Finding the Fourth Proportional to 1,098.92, 1,515.96 and 656.56

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Solution

The fourth proportional to 1,098.92, 1,515.96 and 656.56 is: 905.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.92 : 1,515.96 = 656.56 : x
  2. Step 2: Convert to fraction form
    1,098.92/1,515.96 = 656.56/x
  3. Step 3: Cross multiply
    1,098.92x = 1,515.96 × 656.56
  4. Step 4: Simplify right side
    1,098.92x = 995,318.70
  5. Step 5: Solve for x
    x = 995,318.70/1,098.92
  6. Step 6: Final answer
    x = 905.72

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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.