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Finding the Fourth Proportional to 541.63, 747.39 and 308.71

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Solution

The fourth proportional to 541.63, 747.39 and 308.71 is: 425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.63 : 747.39 = 308.71 : x
  2. Step 2: Convert to fraction form
    541.63/747.39 = 308.71/x
  3. Step 3: Cross multiply
    541.63x = 747.39 × 308.71
  4. Step 4: Simplify right side
    541.63x = 230,726.77
  5. Step 5: Solve for x
    x = 230,726.77/541.63
  6. Step 6: Final answer
    x = 425.99

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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.