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Finding the Fourth Proportional to 512.82, 765.28 and 458.14

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Solution

The fourth proportional to 512.82, 765.28 and 458.14 is: 683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.82 : 765.28 = 458.14 : x
  2. Step 2: Convert to fraction form
    512.82/765.28 = 458.14/x
  3. Step 3: Cross multiply
    512.82x = 765.28 × 458.14
  4. Step 4: Simplify right side
    512.82x = 350,605.38
  5. Step 5: Solve for x
    x = 350,605.38/512.82
  6. Step 6: Final answer
    x = 683.68

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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.