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Finding the Fourth Proportional to 514.79, 772.19 and 149.61

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Solution

The fourth proportional to 514.79, 772.19 and 149.61 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.79 : 772.19 = 149.61 : x
  2. Step 2: Convert to fraction form
    514.79/772.19 = 149.61/x
  3. Step 3: Cross multiply
    514.79x = 772.19 × 149.61
  4. Step 4: Simplify right side
    514.79x = 115,526.60
  5. Step 5: Solve for x
    x = 115,526.60/514.79
  6. Step 6: Final answer
    x = 224.42

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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.