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Finding the Fourth Proportional to 479, 660.41 and 312.95

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Solution

The fourth proportional to 479, 660.41 and 312.95 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    479 : 660.41 = 312.95 : x
  2. Step 2: Convert to fraction form
    479/660.41 = 312.95/x
  3. Step 3: Cross multiply
    479x = 660.41 × 312.95
  4. Step 4: Simplify right side
    479x = 206,675.31
  5. Step 5: Solve for x
    x = 206,675.31/479
  6. Step 6: Final answer
    x = 431.47

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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.