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Finding the Fourth Proportional to 402.67, 600.25 and 386.89

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Solution

The fourth proportional to 402.67, 600.25 and 386.89 is: 576.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.67 : 600.25 = 386.89 : x
  2. Step 2: Convert to fraction form
    402.67/600.25 = 386.89/x
  3. Step 3: Cross multiply
    402.67x = 600.25 × 386.89
  4. Step 4: Simplify right side
    402.67x = 232,230.72
  5. Step 5: Solve for x
    x = 232,230.72/402.67
  6. Step 6: Final answer
    x = 576.73

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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.