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Finding the Fourth Proportional to 1,099.88, 1,517.84 and 602.52

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Solution

The fourth proportional to 1,099.88, 1,517.84 and 602.52 is: 831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.88 : 1,517.84 = 602.52 : x
  2. Step 2: Convert to fraction form
    1,099.88/1,517.84 = 602.52/x
  3. Step 3: Cross multiply
    1,099.88x = 1,517.84 × 602.52
  4. Step 4: Simplify right side
    1,099.88x = 914,528.96
  5. Step 5: Solve for x
    x = 914,528.96/1,099.88
  6. Step 6: Final answer
    x = 831.48

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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.