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Finding the Fourth Proportional to 541.49, 740.85 and 539.19

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Solution

The fourth proportional to 541.49, 740.85 and 539.19 is: 737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 740.85 = 539.19 : x
  2. Step 2: Convert to fraction form
    541.49/740.85 = 539.19/x
  3. Step 3: Cross multiply
    541.49x = 740.85 × 539.19
  4. Step 4: Simplify right side
    541.49x = 399,456.89
  5. Step 5: Solve for x
    x = 399,456.89/541.49
  6. Step 6: Final answer
    x = 737.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.