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Finding the Fourth Proportional to 517.17, 774.06 and 282.55

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Solution

The fourth proportional to 517.17, 774.06 and 282.55 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.17 : 774.06 = 282.55 : x
  2. Step 2: Convert to fraction form
    517.17/774.06 = 282.55/x
  3. Step 3: Cross multiply
    517.17x = 774.06 × 282.55
  4. Step 4: Simplify right side
    517.17x = 218,710.65
  5. Step 5: Solve for x
    x = 218,710.65/517.17
  6. Step 6: Final answer
    x = 422.90

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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.