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Finding the Fourth Proportional to 684.49, 1,025.92 and 318.51

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Solution

The fourth proportional to 684.49, 1,025.92 and 318.51 is: 477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.49 : 1,025.92 = 318.51 : x
  2. Step 2: Convert to fraction form
    684.49/1,025.92 = 318.51/x
  3. Step 3: Cross multiply
    684.49x = 1,025.92 × 318.51
  4. Step 4: Simplify right side
    684.49x = 326,765.78
  5. Step 5: Solve for x
    x = 326,765.78/684.49
  6. Step 6: Final answer
    x = 477.39

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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.