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Finding the Fourth Proportional to 514.43, 772.20 and 270.89

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Solution

The fourth proportional to 514.43, 772.20 and 270.89 is: 406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.43 : 772.20 = 270.89 : x
  2. Step 2: Convert to fraction form
    514.43/772.20 = 270.89/x
  3. Step 3: Cross multiply
    514.43x = 772.20 × 270.89
  4. Step 4: Simplify right side
    514.43x = 209,177.40
  5. Step 5: Solve for x
    x = 209,177.40/514.43
  6. Step 6: Final answer
    x = 406.62

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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.