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Finding the Fourth Proportional to 471.92, 704.10 and 402.65

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Solution

The fourth proportional to 471.92, 704.10 and 402.65 is: 600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.92 : 704.10 = 402.65 : x
  2. Step 2: Convert to fraction form
    471.92/704.10 = 402.65/x
  3. Step 3: Cross multiply
    471.92x = 704.10 × 402.65
  4. Step 4: Simplify right side
    471.92x = 283,503.85
  5. Step 5: Solve for x
    x = 283,503.85/471.92
  6. Step 6: Final answer
    x = 600.75

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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.