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Finding the Fourth Proportional to 1,098.53, 1,523.73 and 1,059.13

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Solution

The fourth proportional to 1,098.53, 1,523.73 and 1,059.13 is: 1,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.53 : 1,523.73 = 1,059.13 : x
  2. Step 2: Convert to fraction form
    1,098.53/1,523.73 = 1,059.13/x
  3. Step 3: Cross multiply
    1,098.53x = 1,523.73 × 1,059.13
  4. Step 4: Simplify right side
    1,098.53x = 1,613,820.54
  5. Step 5: Solve for x
    x = 1,613,820.54/1,098.53
  6. Step 6: Final answer
    x = 1,469.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.