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Finding the Fourth Proportional to 1,268.14, 1,750.02 and 716.14

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Solution

The fourth proportional to 1,268.14, 1,750.02 and 716.14 is: 988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.14 : 1,750.02 = 716.14 : x
  2. Step 2: Convert to fraction form
    1,268.14/1,750.02 = 716.14/x
  3. Step 3: Cross multiply
    1,268.14x = 1,750.02 × 716.14
  4. Step 4: Simplify right side
    1,268.14x = 1,253,259.32
  5. Step 5: Solve for x
    x = 1,253,259.32/1,268.14
  6. Step 6: Final answer
    x = 988.27

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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.