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Finding the Fourth Proportional to 517.61, 776.48 and 170.85

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Solution

The fourth proportional to 517.61, 776.48 and 170.85 is: 256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.61 : 776.48 = 170.85 : x
  2. Step 2: Convert to fraction form
    517.61/776.48 = 170.85/x
  3. Step 3: Cross multiply
    517.61x = 776.48 × 170.85
  4. Step 4: Simplify right side
    517.61x = 132,660.75
  5. Step 5: Solve for x
    x = 132,660.75/517.61
  6. Step 6: Final answer
    x = 256.30

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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.