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Finding the Fourth Proportional to 684.10, 1,024.08 and 440.80

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Solution

The fourth proportional to 684.10, 1,024.08 and 440.80 is: 659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.10 : 1,024.08 = 440.80 : x
  2. Step 2: Convert to fraction form
    684.10/1,024.08 = 440.80/x
  3. Step 3: Cross multiply
    684.10x = 1,024.08 × 440.80
  4. Step 4: Simplify right side
    684.10x = 451,414.46
  5. Step 5: Solve for x
    x = 451,414.46/684.10
  6. Step 6: Final answer
    x = 659.87

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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.