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Finding the Fourth Proportional to 538.72, 806.42 and 392.07

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Solution

The fourth proportional to 538.72, 806.42 and 392.07 is: 586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.72 : 806.42 = 392.07 : x
  2. Step 2: Convert to fraction form
    538.72/806.42 = 392.07/x
  3. Step 3: Cross multiply
    538.72x = 806.42 × 392.07
  4. Step 4: Simplify right side
    538.72x = 316,177.09
  5. Step 5: Solve for x
    x = 316,177.09/538.72
  6. Step 6: Final answer
    x = 586.91

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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.