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Finding the Fourth Proportional to 547.24, 815.65 and 516.49

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Solution

The fourth proportional to 547.24, 815.65 and 516.49 is: 769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 815.65 = 516.49 : x
  2. Step 2: Convert to fraction form
    547.24/815.65 = 516.49/x
  3. Step 3: Cross multiply
    547.24x = 815.65 × 516.49
  4. Step 4: Simplify right side
    547.24x = 421,275.07
  5. Step 5: Solve for x
    x = 421,275.07/547.24
  6. Step 6: Final answer
    x = 769.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.