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Finding the Fourth Proportional to 1,098.54, 1,516.19 and 656.69

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Solution

The fourth proportional to 1,098.54, 1,516.19 and 656.69 is: 906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.54 : 1,516.19 = 656.69 : x
  2. Step 2: Convert to fraction form
    1,098.54/1,516.19 = 656.69/x
  3. Step 3: Cross multiply
    1,098.54x = 1,516.19 × 656.69
  4. Step 4: Simplify right side
    1,098.54x = 995,655.95
  5. Step 5: Solve for x
    x = 995,655.95/1,098.54
  6. Step 6: Final answer
    x = 906.34

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Half scale
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Double scale
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1.5x scale

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.