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Finding the Fourth Proportional to 517.15, 772.58 and 514.72

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Solution

The fourth proportional to 517.15, 772.58 and 514.72 is: 768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.15 : 772.58 = 514.72 : x
  2. Step 2: Convert to fraction form
    517.15/772.58 = 514.72/x
  3. Step 3: Cross multiply
    517.15x = 772.58 × 514.72
  4. Step 4: Simplify right side
    517.15x = 397,662.38
  5. Step 5: Solve for x
    x = 397,662.38/517.15
  6. Step 6: Final answer
    x = 768.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.