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Finding the Fourth Proportional to 684.45, 1,025.19 and 318.69

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Solution

The fourth proportional to 684.45, 1,025.19 and 318.69 is: 477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.45 : 1,025.19 = 318.69 : x
  2. Step 2: Convert to fraction form
    684.45/1,025.19 = 318.69/x
  3. Step 3: Cross multiply
    684.45x = 1,025.19 × 318.69
  4. Step 4: Simplify right side
    684.45x = 326,717.80
  5. Step 5: Solve for x
    x = 326,717.80/684.45
  6. Step 6: Final answer
    x = 477.34

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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.