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Finding the Fourth Proportional to 538.71, 806.27 and 362.79

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Solution

The fourth proportional to 538.71, 806.27 and 362.79 is: 542.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.71 : 806.27 = 362.79 : x
  2. Step 2: Convert to fraction form
    538.71/806.27 = 362.79/x
  3. Step 3: Cross multiply
    538.71x = 806.27 × 362.79
  4. Step 4: Simplify right side
    538.71x = 292,506.69
  5. Step 5: Solve for x
    x = 292,506.69/538.71
  6. Step 6: Final answer
    x = 542.98

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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.