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Finding the Fourth Proportional to 684.74, 1,025.22 and 440.66

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Solution

The fourth proportional to 684.74, 1,025.22 and 440.66 is: 659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 1,025.22 = 440.66 : x
  2. Step 2: Convert to fraction form
    684.74/1,025.22 = 440.66/x
  3. Step 3: Cross multiply
    684.74x = 1,025.22 × 440.66
  4. Step 4: Simplify right side
    684.74x = 451,773.45
  5. Step 5: Solve for x
    x = 451,773.45/684.74
  6. Step 6: Final answer
    x = 659.77

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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.