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Finding the Fourth Proportional to 546.92, 753.39 and 519.12

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Solution

The fourth proportional to 546.92, 753.39 and 519.12 is: 715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 753.39 = 519.12 : x
  2. Step 2: Convert to fraction form
    546.92/753.39 = 519.12/x
  3. Step 3: Cross multiply
    546.92x = 753.39 × 519.12
  4. Step 4: Simplify right side
    546.92x = 391,099.82
  5. Step 5: Solve for x
    x = 391,099.82/546.92
  6. Step 6: Final answer
    x = 715.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.