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Finding the Fourth Proportional to 632.11, 947.37 and 449.55

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Solution

The fourth proportional to 632.11, 947.37 and 449.55 is: 673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.11 : 947.37 = 449.55 : x
  2. Step 2: Convert to fraction form
    632.11/947.37 = 449.55/x
  3. Step 3: Cross multiply
    632.11x = 947.37 × 449.55
  4. Step 4: Simplify right side
    632.11x = 425,885.45
  5. Step 5: Solve for x
    x = 425,885.45/632.11
  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.