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Finding the Fourth Proportional to 512.75, 765.15 and 458.08

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Solution

The fourth proportional to 512.75, 765.15 and 458.08 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 765.15 = 458.08 : x
  2. Step 2: Convert to fraction form
    512.75/765.15 = 458.08/x
  3. Step 3: Cross multiply
    512.75x = 765.15 × 458.08
  4. Step 4: Simplify right side
    512.75x = 350,499.91
  5. Step 5: Solve for x
    x = 350,499.91/512.75
  6. Step 6: Final answer
    x = 683.57

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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.