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Finding the Fourth Proportional to 439.91, 656.71 and 409.15

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Solution

The fourth proportional to 439.91, 656.71 and 409.15 is: 610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.91 : 656.71 = 409.15 : x
  2. Step 2: Convert to fraction form
    439.91/656.71 = 409.15/x
  3. Step 3: Cross multiply
    439.91x = 656.71 × 409.15
  4. Step 4: Simplify right side
    439.91x = 268,692.69
  5. Step 5: Solve for x
    x = 268,692.69/439.91
  6. Step 6: Final answer
    x = 610.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.