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Finding the Fourth Proportional to 512.46, 764.70 and 439.29

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Solution

The fourth proportional to 512.46, 764.70 and 439.29 is: 655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 764.70 = 439.29 : x
  2. Step 2: Convert to fraction form
    512.46/764.70 = 439.29/x
  3. Step 3: Cross multiply
    512.46x = 764.70 × 439.29
  4. Step 4: Simplify right side
    512.46x = 335,925.06
  5. Step 5: Solve for x
    x = 335,925.06/512.46
  6. Step 6: Final answer
    x = 655.51

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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.