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Finding the Fourth Proportional to 517.11, 771.02 and 507.88

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Solution

The fourth proportional to 517.11, 771.02 and 507.88 is: 757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.11 : 771.02 = 507.88 : x
  2. Step 2: Convert to fraction form
    517.11/771.02 = 507.88/x
  3. Step 3: Cross multiply
    517.11x = 771.02 × 507.88
  4. Step 4: Simplify right side
    517.11x = 391,581.78
  5. Step 5: Solve for x
    x = 391,581.78/517.11
  6. Step 6: Final answer
    x = 757.26

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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.