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Finding the Fourth Proportional to 438, 655.37 and 314.61

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Solution

The fourth proportional to 438, 655.37 and 314.61 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 655.37 = 314.61 : x
  2. Step 2: Convert to fraction form
    438/655.37 = 314.61/x
  3. Step 3: Cross multiply
    438x = 655.37 × 314.61
  4. Step 4: Simplify right side
    438x = 206,185.96
  5. Step 5: Solve for x
    x = 206,185.96/438
  6. Step 6: Final answer
    x = 470.74

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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.