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Finding the Fourth Proportional to 517.10, 771.24 and 498.74

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Solution

The fourth proportional to 517.10, 771.24 and 498.74 is: 743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.10 : 771.24 = 498.74 : x
  2. Step 2: Convert to fraction form
    517.10/771.24 = 498.74/x
  3. Step 3: Cross multiply
    517.10x = 771.24 × 498.74
  4. Step 4: Simplify right side
    517.10x = 384,645.74
  5. Step 5: Solve for x
    x = 384,645.74/517.10
  6. Step 6: Final answer
    x = 743.85

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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.