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Finding the Fourth Proportional to 547.75, 756.17 and 392.77

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Solution

The fourth proportional to 547.75, 756.17 and 392.77 is: 542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.75 : 756.17 = 392.77 : x
  2. Step 2: Convert to fraction form
    547.75/756.17 = 392.77/x
  3. Step 3: Cross multiply
    547.75x = 756.17 × 392.77
  4. Step 4: Simplify right side
    547.75x = 297,000.89
  5. Step 5: Solve for x
    x = 297,000.89/547.75
  6. Step 6: Final answer
    x = 542.22

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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.