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Finding the Fourth Proportional to 512.94, 767.25 and 348.78

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Solution

The fourth proportional to 512.94, 767.25 and 348.78 is: 521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 767.25 = 348.78 : x
  2. Step 2: Convert to fraction form
    512.94/767.25 = 348.78/x
  3. Step 3: Cross multiply
    512.94x = 767.25 × 348.78
  4. Step 4: Simplify right side
    512.94x = 267,601.46
  5. Step 5: Solve for x
    x = 267,601.46/512.94
  6. Step 6: Final answer
    x = 521.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.