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Finding the Fourth Proportional to 1,098.66, 1,515.96 and 656.54

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Solution

The fourth proportional to 1,098.66, 1,515.96 and 656.54 is: 905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.66 : 1,515.96 = 656.54 : x
  2. Step 2: Convert to fraction form
    1,098.66/1,515.96 = 656.54/x
  3. Step 3: Cross multiply
    1,098.66x = 1,515.96 × 656.54
  4. Step 4: Simplify right side
    1,098.66x = 995,288.38
  5. Step 5: Solve for x
    x = 995,288.38/1,098.66
  6. Step 6: Final answer
    x = 905.91

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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.