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Finding the Fourth Proportional to 1,099.88, 1,517.84 and 658.23

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Solution

The fourth proportional to 1,099.88, 1,517.84 and 658.23 is: 908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.88 : 1,517.84 = 658.23 : x
  2. Step 2: Convert to fraction form
    1,099.88/1,517.84 = 658.23/x
  3. Step 3: Cross multiply
    1,099.88x = 1,517.84 × 658.23
  4. Step 4: Simplify right side
    1,099.88x = 999,081.31
  5. Step 5: Solve for x
    x = 999,081.31/1,099.88
  6. Step 6: Final answer
    x = 908.36

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1.5x scale

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.