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Finding the Fourth Proportional to 1,294.57, 1,782.14 and 1,169.84

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Solution

The fourth proportional to 1,294.57, 1,782.14 and 1,169.84 is: 1,610.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.57 : 1,782.14 = 1,169.84 : x
  2. Step 2: Convert to fraction form
    1,294.57/1,782.14 = 1,169.84/x
  3. Step 3: Cross multiply
    1,294.57x = 1,782.14 × 1,169.84
  4. Step 4: Simplify right side
    1,294.57x = 2,084,817.26
  5. Step 5: Solve for x
    x = 2,084,817.26/1,294.57
  6. Step 6: Final answer
    x = 1,610.43

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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.