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Finding the Fourth Proportional to 515.92, 769.38 and 487.16

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Solution

The fourth proportional to 515.92, 769.38 and 487.16 is: 726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.92 : 769.38 = 487.16 : x
  2. Step 2: Convert to fraction form
    515.92/769.38 = 487.16/x
  3. Step 3: Cross multiply
    515.92x = 769.38 × 487.16
  4. Step 4: Simplify right side
    515.92x = 374,811.16
  5. Step 5: Solve for x
    x = 374,811.16/515.92
  6. Step 6: Final answer
    x = 726.49

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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.