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Finding the Fourth Proportional to 517.25, 771.27 and 510.87

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Solution

The fourth proportional to 517.25, 771.27 and 510.87 is: 761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.25 : 771.27 = 510.87 : x
  2. Step 2: Convert to fraction form
    517.25/771.27 = 510.87/x
  3. Step 3: Cross multiply
    517.25x = 771.27 × 510.87
  4. Step 4: Simplify right side
    517.25x = 394,018.70
  5. Step 5: Solve for x
    x = 394,018.70/517.25
  6. Step 6: Final answer
    x = 761.76

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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.