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Finding the Fourth Proportional to 542.84, 814.66 and 337.71

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Solution

The fourth proportional to 542.84, 814.66 and 337.71 is: 506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 814.66 = 337.71 : x
  2. Step 2: Convert to fraction form
    542.84/814.66 = 337.71/x
  3. Step 3: Cross multiply
    542.84x = 814.66 × 337.71
  4. Step 4: Simplify right side
    542.84x = 275,118.83
  5. Step 5: Solve for x
    x = 275,118.83/542.84
  6. Step 6: Final answer
    x = 506.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.