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Finding the Fourth Proportional to 450.72, 671.57 and 402.21

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Solution

The fourth proportional to 450.72, 671.57 and 402.21 is: 599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.72 : 671.57 = 402.21 : x
  2. Step 2: Convert to fraction form
    450.72/671.57 = 402.21/x
  3. Step 3: Cross multiply
    450.72x = 671.57 × 402.21
  4. Step 4: Simplify right side
    450.72x = 270,110.16
  5. Step 5: Solve for x
    x = 270,110.16/450.72
  6. Step 6: Final answer
    x = 599.29

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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.