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Finding the Fourth Proportional to 515.69, 769.97 and 463.86

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Solution

The fourth proportional to 515.69, 769.97 and 463.86 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.69 : 769.97 = 463.86 : x
  2. Step 2: Convert to fraction form
    515.69/769.97 = 463.86/x
  3. Step 3: Cross multiply
    515.69x = 769.97 × 463.86
  4. Step 4: Simplify right side
    515.69x = 357,160.74
  5. Step 5: Solve for x
    x = 357,160.74/515.69
  6. Step 6: Final answer
    x = 692.59

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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.