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Finding the Fourth Proportional to 456.96, 682.10 and 402.29

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Solution

The fourth proportional to 456.96, 682.10 and 402.29 is: 600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 682.10 = 402.29 : x
  2. Step 2: Convert to fraction form
    456.96/682.10 = 402.29/x
  3. Step 3: Cross multiply
    456.96x = 682.10 × 402.29
  4. Step 4: Simplify right side
    456.96x = 274,396.59
  5. Step 5: Solve for x
    x = 274,396.59/456.96
  6. Step 6: Final answer
    x = 600.48

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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.