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Finding the Fourth Proportional to 1,287.33, 1,776.14 and 868.16

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Solution

The fourth proportional to 1,287.33, 1,776.14 and 868.16 is: 1,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.33 : 1,776.14 = 868.16 : x
  2. Step 2: Convert to fraction form
    1,287.33/1,776.14 = 868.16/x
  3. Step 3: Cross multiply
    1,287.33x = 1,776.14 × 868.16
  4. Step 4: Simplify right side
    1,287.33x = 1,541,973.70
  5. Step 5: Solve for x
    x = 1,541,973.70/1,287.33
  6. Step 6: Final answer
    x = 1,197.81

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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.