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Finding the Fourth Proportional to 541.49, 742.39 and 531.65

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Solution

The fourth proportional to 541.49, 742.39 and 531.65 is: 728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 742.39 = 531.65 : x
  2. Step 2: Convert to fraction form
    541.49/742.39 = 531.65/x
  3. Step 3: Cross multiply
    541.49x = 742.39 × 531.65
  4. Step 4: Simplify right side
    541.49x = 394,686.60
  5. Step 5: Solve for x
    x = 394,686.60/541.49
  6. Step 6: Final answer
    x = 728.89

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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.