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Finding the Fourth Proportional to 464.20, 697.10 and 449.80

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Solution

The fourth proportional to 464.20, 697.10 and 449.80 is: 675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 697.10 = 449.80 : x
  2. Step 2: Convert to fraction form
    464.20/697.10 = 449.80/x
  3. Step 3: Cross multiply
    464.20x = 697.10 × 449.80
  4. Step 4: Simplify right side
    464.20x = 313,555.58
  5. Step 5: Solve for x
    x = 313,555.58/464.20
  6. Step 6: Final answer
    x = 675.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.