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Finding the Fourth Proportional to 472.60, 650.96 and 397.82

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Solution

The fourth proportional to 472.60, 650.96 and 397.82 is: 547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.60 : 650.96 = 397.82 : x
  2. Step 2: Convert to fraction form
    472.60/650.96 = 397.82/x
  3. Step 3: Cross multiply
    472.60x = 650.96 × 397.82
  4. Step 4: Simplify right side
    472.60x = 258,959.66
  5. Step 5: Solve for x
    x = 258,959.66/472.60
  6. Step 6: Final answer
    x = 547.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.