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Finding the Fourth Proportional to 1,168.52, 1,749.19 and 1,002.44

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Solution

The fourth proportional to 1,168.52, 1,749.19 and 1,002.44 is: 1,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.52 : 1,749.19 = 1,002.44 : x
  2. Step 2: Convert to fraction form
    1,168.52/1,749.19 = 1,002.44/x
  3. Step 3: Cross multiply
    1,168.52x = 1,749.19 × 1,002.44
  4. Step 4: Simplify right side
    1,168.52x = 1,753,459.89
  5. Step 5: Solve for x
    x = 1,753,459.89/1,168.52
  6. Step 6: Final answer
    x = 1,500.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.