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Finding the Fourth Proportional to 543.87, 749.61 and 396.27

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Solution

The fourth proportional to 543.87, 749.61 and 396.27 is: 546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 749.61 = 396.27 : x
  2. Step 2: Convert to fraction form
    543.87/749.61 = 396.27/x
  3. Step 3: Cross multiply
    543.87x = 749.61 × 396.27
  4. Step 4: Simplify right side
    543.87x = 297,047.95
  5. Step 5: Solve for x
    x = 297,047.95/543.87
  6. Step 6: Final answer
    x = 546.17

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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.