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Finding the Fourth Proportional to 471.27, 649.59 and 377.85

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Solution

The fourth proportional to 471.27, 649.59 and 377.85 is: 520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 649.59 = 377.85 : x
  2. Step 2: Convert to fraction form
    471.27/649.59 = 377.85/x
  3. Step 3: Cross multiply
    471.27x = 649.59 × 377.85
  4. Step 4: Simplify right side
    471.27x = 245,447.58
  5. Step 5: Solve for x
    x = 245,447.58/471.27
  6. Step 6: Final answer
    x = 520.82

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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.