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Finding the Fourth Proportional to 451.40, 671.70 and 449.87

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Solution

The fourth proportional to 451.40, 671.70 and 449.87 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.40 : 671.70 = 449.87 : x
  2. Step 2: Convert to fraction form
    451.40/671.70 = 449.87/x
  3. Step 3: Cross multiply
    451.40x = 671.70 × 449.87
  4. Step 4: Simplify right side
    451.40x = 302,177.68
  5. Step 5: Solve for x
    x = 302,177.68/451.40
  6. Step 6: Final answer
    x = 669.42

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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.