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Finding the Fourth Proportional to 541.86, 748.09 and 423.62

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Solution

The fourth proportional to 541.86, 748.09 and 423.62 is: 584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 748.09 = 423.62 : x
  2. Step 2: Convert to fraction form
    541.86/748.09 = 423.62/x
  3. Step 3: Cross multiply
    541.86x = 748.09 × 423.62
  4. Step 4: Simplify right side
    541.86x = 316,905.89
  5. Step 5: Solve for x
    x = 316,905.89/541.86
  6. Step 6: Final answer
    x = 584.85

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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.