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Finding the Fourth Proportional to 543.92, 749.66 and 396.23

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Solution

The fourth proportional to 543.92, 749.66 and 396.23 is: 546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 749.66 = 396.23 : x
  2. Step 2: Convert to fraction form
    543.92/749.66 = 396.23/x
  3. Step 3: Cross multiply
    543.92x = 749.66 × 396.23
  4. Step 4: Simplify right side
    543.92x = 297,032.05
  5. Step 5: Solve for x
    x = 297,032.05/543.92
  6. Step 6: Final answer
    x = 546.10

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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.