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Finding the Fourth Proportional to 513.97, 774.42 and 424.67

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Solution

The fourth proportional to 513.97, 774.42 and 424.67 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.97 : 774.42 = 424.67 : x
  2. Step 2: Convert to fraction form
    513.97/774.42 = 424.67/x
  3. Step 3: Cross multiply
    513.97x = 774.42 × 424.67
  4. Step 4: Simplify right side
    513.97x = 328,872.94
  5. Step 5: Solve for x
    x = 328,872.94/513.97
  6. Step 6: Final answer
    x = 639.87

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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.