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Finding the Fourth Proportional to 477.85, 717.13 and 169.71

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Solution

The fourth proportional to 477.85, 717.13 and 169.71 is: 254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.85 : 717.13 = 169.71 : x
  2. Step 2: Convert to fraction form
    477.85/717.13 = 169.71/x
  3. Step 3: Cross multiply
    477.85x = 717.13 × 169.71
  4. Step 4: Simplify right side
    477.85x = 121,702.05
  5. Step 5: Solve for x
    x = 121,702.05/477.85
  6. Step 6: Final answer
    x = 254.69

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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.