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Finding the Fourth Proportional to 541.71, 747.56 and 308.83

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Solution

The fourth proportional to 541.71, 747.56 and 308.83 is: 426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.71 : 747.56 = 308.83 : x
  2. Step 2: Convert to fraction form
    541.71/747.56 = 308.83/x
  3. Step 3: Cross multiply
    541.71x = 747.56 × 308.83
  4. Step 4: Simplify right side
    541.71x = 230,868.95
  5. Step 5: Solve for x
    x = 230,868.95/541.71
  6. Step 6: Final answer
    x = 426.19

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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.