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Finding the Fourth Proportional to 1,098.52, 1,515.70 and 706.08

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Solution

The fourth proportional to 1,098.52, 1,515.70 and 706.08 is: 974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.52 : 1,515.70 = 706.08 : x
  2. Step 2: Convert to fraction form
    1,098.52/1,515.70 = 706.08/x
  3. Step 3: Cross multiply
    1,098.52x = 1,515.70 × 706.08
  4. Step 4: Simplify right side
    1,098.52x = 1,070,201.93
  5. Step 5: Solve for x
    x = 1,070,201.93/1,098.52
  6. Step 6: Final answer
    x = 974.22

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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.