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Finding the Fourth Proportional to 439.80, 656.84 and 353.28

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Solution

The fourth proportional to 439.80, 656.84 and 353.28 is: 527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.80 : 656.84 = 353.28 : x
  2. Step 2: Convert to fraction form
    439.80/656.84 = 353.28/x
  3. Step 3: Cross multiply
    439.80x = 656.84 × 353.28
  4. Step 4: Simplify right side
    439.80x = 232,048.44
  5. Step 5: Solve for x
    x = 232,048.44/439.80
  6. Step 6: Final answer
    x = 527.62

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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.