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Finding the Fourth Proportional to 683.76, 1,025.12 and 318.29

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Solution

The fourth proportional to 683.76, 1,025.12 and 318.29 is: 477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 1,025.12 = 318.29 : x
  2. Step 2: Convert to fraction form
    683.76/1,025.12 = 318.29/x
  3. Step 3: Cross multiply
    683.76x = 1,025.12 × 318.29
  4. Step 4: Simplify right side
    683.76x = 326,278.73
  5. Step 5: Solve for x
    x = 326,278.73/683.76
  6. Step 6: Final answer
    x = 477.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.