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Finding the Fourth Proportional to 1,098.59, 1,627.32 and 1,086.31

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Solution

The fourth proportional to 1,098.59, 1,627.32 and 1,086.31 is: 1,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.59 : 1,627.32 = 1,086.31 : x
  2. Step 2: Convert to fraction form
    1,098.59/1,627.32 = 1,086.31/x
  3. Step 3: Cross multiply
    1,098.59x = 1,627.32 × 1,086.31
  4. Step 4: Simplify right side
    1,098.59x = 1,767,765.85
  5. Step 5: Solve for x
    x = 1,767,765.85/1,098.59
  6. Step 6: Final answer
    x = 1,609.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.