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Finding the Fourth Proportional to 1,099.49, 1,517.29 and 602.15

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Solution

The fourth proportional to 1,099.49, 1,517.29 and 602.15 is: 830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.49 : 1,517.29 = 602.15 : x
  2. Step 2: Convert to fraction form
    1,099.49/1,517.29 = 602.15/x
  3. Step 3: Cross multiply
    1,099.49x = 1,517.29 × 602.15
  4. Step 4: Simplify right side
    1,099.49x = 913,627.08
  5. Step 5: Solve for x
    x = 913,627.08/1,099.49
  6. Step 6: Final answer
    x = 830.96

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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.