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Finding the Fourth Proportional to 450.40, 671.12 and 401.27

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Solution

The fourth proportional to 450.40, 671.12 and 401.27 is: 597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 671.12 = 401.27 : x
  2. Step 2: Convert to fraction form
    450.40/671.12 = 401.27/x
  3. Step 3: Cross multiply
    450.40x = 671.12 × 401.27
  4. Step 4: Simplify right side
    450.40x = 269,304.10
  5. Step 5: Solve for x
    x = 269,304.10/450.40
  6. Step 6: Final answer
    x = 597.92

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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.