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Finding the Fourth Proportional to 547.92, 755.16 and 392.40

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Solution

The fourth proportional to 547.92, 755.16 and 392.40 is: 540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 755.16 = 392.40 : x
  2. Step 2: Convert to fraction form
    547.92/755.16 = 392.40/x
  3. Step 3: Cross multiply
    547.92x = 755.16 × 392.40
  4. Step 4: Simplify right side
    547.92x = 296,324.78
  5. Step 5: Solve for x
    x = 296,324.78/547.92
  6. Step 6: Final answer
    x = 540.82

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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.