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Finding the Fourth Proportional to 512.40, 766.78 and 294.92

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Solution

The fourth proportional to 512.40, 766.78 and 294.92 is: 441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 766.78 = 294.92 : x
  2. Step 2: Convert to fraction form
    512.40/766.78 = 294.92/x
  3. Step 3: Cross multiply
    512.40x = 766.78 × 294.92
  4. Step 4: Simplify right side
    512.40x = 226,134.19
  5. Step 5: Solve for x
    x = 226,134.19/512.40
  6. Step 6: Final answer
    x = 441.32

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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.