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Finding the Fourth Proportional to 1,268, 1,749.68 and 708.36

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Solution

The fourth proportional to 1,268, 1,749.68 and 708.36 is: 977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268 : 1,749.68 = 708.36 : x
  2. Step 2: Convert to fraction form
    1,268/1,749.68 = 708.36/x
  3. Step 3: Cross multiply
    1,268x = 1,749.68 × 708.36
  4. Step 4: Simplify right side
    1,268x = 1,239,403.32
  5. Step 5: Solve for x
    x = 1,239,403.32/1,268
  6. Step 6: Final answer
    x = 977.45

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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.