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Finding the Fourth Proportional to 546.24, 814.16 and 515.49

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Solution

The fourth proportional to 546.24, 814.16 and 515.49 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 814.16 = 515.49 : x
  2. Step 2: Convert to fraction form
    546.24/814.16 = 515.49/x
  3. Step 3: Cross multiply
    546.24x = 814.16 × 515.49
  4. Step 4: Simplify right side
    546.24x = 419,691.34
  5. Step 5: Solve for x
    x = 419,691.34/546.24
  6. Step 6: Final answer
    x = 768.33

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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.