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Finding the Fourth Proportional to 520.44, 781.26 and 304.17

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Solution

The fourth proportional to 520.44, 781.26 and 304.17 is: 456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 781.26 = 304.17 : x
  2. Step 2: Convert to fraction form
    520.44/781.26 = 304.17/x
  3. Step 3: Cross multiply
    520.44x = 781.26 × 304.17
  4. Step 4: Simplify right side
    520.44x = 237,635.85
  5. Step 5: Solve for x
    x = 237,635.85/520.44
  6. Step 6: Final answer
    x = 456.61

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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.