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Finding the Fourth Proportional to 1,391.71, 2,086.67 and 698.19

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Solution

The fourth proportional to 1,391.71, 2,086.67 and 698.19 is: 1,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.71 : 2,086.67 = 698.19 : x
  2. Step 2: Convert to fraction form
    1,391.71/2,086.67 = 698.19/x
  3. Step 3: Cross multiply
    1,391.71x = 2,086.67 × 698.19
  4. Step 4: Simplify right side
    1,391.71x = 1,456,892.13
  5. Step 5: Solve for x
    x = 1,456,892.13/1,391.71
  6. Step 6: Final answer
    x = 1,046.84

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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.