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Finding the Fourth Proportional to 541.50, 747.63 and 334.86

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Solution

The fourth proportional to 541.50, 747.63 and 334.86 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.50 : 747.63 = 334.86 : x
  2. Step 2: Convert to fraction form
    541.50/747.63 = 334.86/x
  3. Step 3: Cross multiply
    541.50x = 747.63 × 334.86
  4. Step 4: Simplify right side
    541.50x = 250,351.38
  5. Step 5: Solve for x
    x = 250,351.38/541.50
  6. Step 6: Final answer
    x = 462.33

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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.