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Finding the Fourth Proportional to 684.38, 1,027.60 and 411.70

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Solution

The fourth proportional to 684.38, 1,027.60 and 411.70 is: 618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.38 : 1,027.60 = 411.70 : x
  2. Step 2: Convert to fraction form
    684.38/1,027.60 = 411.70/x
  3. Step 3: Cross multiply
    684.38x = 1,027.60 × 411.70
  4. Step 4: Simplify right side
    684.38x = 423,062.92
  5. Step 5: Solve for x
    x = 423,062.92/684.38
  6. Step 6: Final answer
    x = 618.17

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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.