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Finding the Fourth Proportional to 515.66, 769.32 and 512.01

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Solution

The fourth proportional to 515.66, 769.32 and 512.01 is: 763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.66 : 769.32 = 512.01 : x
  2. Step 2: Convert to fraction form
    515.66/769.32 = 512.01/x
  3. Step 3: Cross multiply
    515.66x = 769.32 × 512.01
  4. Step 4: Simplify right side
    515.66x = 393,899.53
  5. Step 5: Solve for x
    x = 393,899.53/515.66
  6. Step 6: Final answer
    x = 763.88

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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.