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Finding the Fourth Proportional to 513.74, 769.10 and 410.77

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Solution

The fourth proportional to 513.74, 769.10 and 410.77 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 769.10 = 410.77 : x
  2. Step 2: Convert to fraction form
    513.74/769.10 = 410.77/x
  3. Step 3: Cross multiply
    513.74x = 769.10 × 410.77
  4. Step 4: Simplify right side
    513.74x = 315,922.11
  5. Step 5: Solve for x
    x = 315,922.11/513.74
  6. Step 6: Final answer
    x = 614.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.