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Finding the Fourth Proportional to 538.85, 806.24 and 319.61

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Solution

The fourth proportional to 538.85, 806.24 and 319.61 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.85 : 806.24 = 319.61 : x
  2. Step 2: Convert to fraction form
    538.85/806.24 = 319.61/x
  3. Step 3: Cross multiply
    538.85x = 806.24 × 319.61
  4. Step 4: Simplify right side
    538.85x = 257,685.18
  5. Step 5: Solve for x
    x = 257,685.18/538.85
  6. Step 6: Final answer
    x = 478.21

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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.