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Finding the Fourth Proportional to 543.18, 748.35 and 426.54

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Solution

The fourth proportional to 543.18, 748.35 and 426.54 is: 587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.18 : 748.35 = 426.54 : x
  2. Step 2: Convert to fraction form
    543.18/748.35 = 426.54/x
  3. Step 3: Cross multiply
    543.18x = 748.35 × 426.54
  4. Step 4: Simplify right side
    543.18x = 319,201.21
  5. Step 5: Solve for x
    x = 319,201.21/543.18
  6. Step 6: Final answer
    x = 587.65

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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.