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Finding the Fourth Proportional to 462.78, 693.16 and 449.82

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Solution

The fourth proportional to 462.78, 693.16 and 449.82 is: 673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 693.16 = 449.82 : x
  2. Step 2: Convert to fraction form
    462.78/693.16 = 449.82/x
  3. Step 3: Cross multiply
    462.78x = 693.16 × 449.82
  4. Step 4: Simplify right side
    462.78x = 311,796.11
  5. Step 5: Solve for x
    x = 311,796.11/462.78
  6. Step 6: Final answer
    x = 673.75

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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.