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Finding the Fourth Proportional to 1,268.94, 1,751.11 and 709.53

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Solution

The fourth proportional to 1,268.94, 1,751.11 and 709.53 is: 979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.94 : 1,751.11 = 709.53 : x
  2. Step 2: Convert to fraction form
    1,268.94/1,751.11 = 709.53/x
  3. Step 3: Cross multiply
    1,268.94x = 1,751.11 × 709.53
  4. Step 4: Simplify right side
    1,268.94x = 1,242,465.08
  5. Step 5: Solve for x
    x = 1,242,465.08/1,268.94
  6. Step 6: Final answer
    x = 979.14

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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.