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Finding the Fourth Proportional to 478.71, 718.17 and 170.61

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Solution

The fourth proportional to 478.71, 718.17 and 170.61 is: 255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.71 : 718.17 = 170.61 : x
  2. Step 2: Convert to fraction form
    478.71/718.17 = 170.61/x
  3. Step 3: Cross multiply
    478.71x = 718.17 × 170.61
  4. Step 4: Simplify right side
    478.71x = 122,526.98
  5. Step 5: Solve for x
    x = 122,526.98/478.71
  6. Step 6: Final answer
    x = 255.95

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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.