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Finding the Fourth Proportional to 515.85, 774.99 and 424.73

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Solution

The fourth proportional to 515.85, 774.99 and 424.73 is: 638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.85 : 774.99 = 424.73 : x
  2. Step 2: Convert to fraction form
    515.85/774.99 = 424.73/x
  3. Step 3: Cross multiply
    515.85x = 774.99 × 424.73
  4. Step 4: Simplify right side
    515.85x = 329,157.63
  5. Step 5: Solve for x
    x = 329,157.63/515.85
  6. Step 6: Final answer
    x = 638.09

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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.