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Finding the Fourth Proportional to 1,348.91, 1,861.88 and 789.81

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Solution

The fourth proportional to 1,348.91, 1,861.88 and 789.81 is: 1,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.91 : 1,861.88 = 789.81 : x
  2. Step 2: Convert to fraction form
    1,348.91/1,861.88 = 789.81/x
  3. Step 3: Cross multiply
    1,348.91x = 1,861.88 × 789.81
  4. Step 4: Simplify right side
    1,348.91x = 1,470,531.44
  5. Step 5: Solve for x
    x = 1,470,531.44/1,348.91
  6. Step 6: Final answer
    x = 1,090.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.