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Finding the Fourth Proportional to 1,268.36, 1,750.64 and 869.84

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Solution

The fourth proportional to 1,268.36, 1,750.64 and 869.84 is: 1,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.36 : 1,750.64 = 869.84 : x
  2. Step 2: Convert to fraction form
    1,268.36/1,750.64 = 869.84/x
  3. Step 3: Cross multiply
    1,268.36x = 1,750.64 × 869.84
  4. Step 4: Simplify right side
    1,268.36x = 1,522,776.70
  5. Step 5: Solve for x
    x = 1,522,776.70/1,268.36
  6. Step 6: Final answer
    x = 1,200.59

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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.