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Finding the Fourth Proportional to 512.46, 765.18 and 466.29

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Solution

The fourth proportional to 512.46, 765.18 and 466.29 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 765.18 = 466.29 : x
  2. Step 2: Convert to fraction form
    512.46/765.18 = 466.29/x
  3. Step 3: Cross multiply
    512.46x = 765.18 × 466.29
  4. Step 4: Simplify right side
    512.46x = 356,795.78
  5. Step 5: Solve for x
    x = 356,795.78/512.46
  6. Step 6: Final answer
    x = 696.24

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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.