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Finding the Fourth Proportional to 517.11, 779.72 and 474.05

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Solution

The fourth proportional to 517.11, 779.72 and 474.05 is: 714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.11 : 779.72 = 474.05 : x
  2. Step 2: Convert to fraction form
    517.11/779.72 = 474.05/x
  3. Step 3: Cross multiply
    517.11x = 779.72 × 474.05
  4. Step 4: Simplify right side
    517.11x = 369,625.85
  5. Step 5: Solve for x
    x = 369,625.85/517.11
  6. Step 6: Final answer
    x = 714.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.