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Finding the Fourth Proportional to 541.89, 747.79 and 305.85

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Solution

The fourth proportional to 541.89, 747.79 and 305.85 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.89 : 747.79 = 305.85 : x
  2. Step 2: Convert to fraction form
    541.89/747.79 = 305.85/x
  3. Step 3: Cross multiply
    541.89x = 747.79 × 305.85
  4. Step 4: Simplify right side
    541.89x = 228,711.57
  5. Step 5: Solve for x
    x = 228,711.57/541.89
  6. Step 6: Final answer
    x = 422.06

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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.