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Finding the Fourth Proportional to 547.38, 815.41 and 513.76

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Solution

The fourth proportional to 547.38, 815.41 and 513.76 is: 765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 815.41 = 513.76 : x
  2. Step 2: Convert to fraction form
    547.38/815.41 = 513.76/x
  3. Step 3: Cross multiply
    547.38x = 815.41 × 513.76
  4. Step 4: Simplify right side
    547.38x = 418,928.36
  5. Step 5: Solve for x
    x = 418,928.36/547.38
  6. Step 6: Final answer
    x = 765.34

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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.