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Finding the Fourth Proportional to 684.22, 1,025.96 and 318.92

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Solution

The fourth proportional to 684.22, 1,025.96 and 318.92 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.22 : 1,025.96 = 318.92 : x
  2. Step 2: Convert to fraction form
    684.22/1,025.96 = 318.92/x
  3. Step 3: Cross multiply
    684.22x = 1,025.96 × 318.92
  4. Step 4: Simplify right side
    684.22x = 327,199.16
  5. Step 5: Solve for x
    x = 327,199.16/684.22
  6. Step 6: Final answer
    x = 478.21

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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.