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Finding the Fourth Proportional to 1,195.86, 1,792.70 and 426.18

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Solution

The fourth proportional to 1,195.86, 1,792.70 and 426.18 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.86 : 1,792.70 = 426.18 : x
  2. Step 2: Convert to fraction form
    1,195.86/1,792.70 = 426.18/x
  3. Step 3: Cross multiply
    1,195.86x = 1,792.70 × 426.18
  4. Step 4: Simplify right side
    1,195.86x = 764,001.79
  5. Step 5: Solve for x
    x = 764,001.79/1,195.86
  6. Step 6: Final answer
    x = 638.87

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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.