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Finding the Fourth Proportional to 1,098.71, 1,516.21 and 656.53

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Solution

The fourth proportional to 1,098.71, 1,516.21 and 656.53 is: 906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.71 : 1,516.21 = 656.53 : x
  2. Step 2: Convert to fraction form
    1,098.71/1,516.21 = 656.53/x
  3. Step 3: Cross multiply
    1,098.71x = 1,516.21 × 656.53
  4. Step 4: Simplify right side
    1,098.71x = 995,437.35
  5. Step 5: Solve for x
    x = 995,437.35/1,098.71
  6. Step 6: Final answer
    x = 906.01

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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.