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Finding the Fourth Proportional to 512.73, 764.84 and 458.06

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Solution

The fourth proportional to 512.73, 764.84 and 458.06 is: 683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 764.84 = 458.06 : x
  2. Step 2: Convert to fraction form
    512.73/764.84 = 458.06/x
  3. Step 3: Cross multiply
    512.73x = 764.84 × 458.06
  4. Step 4: Simplify right side
    512.73x = 350,339.93
  5. Step 5: Solve for x
    x = 350,339.93/512.73
  6. Step 6: Final answer
    x = 683.28

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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.