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Finding the Fourth Proportional to 1,268.94, 1,749.55 and 970.56

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Solution

The fourth proportional to 1,268.94, 1,749.55 and 970.56 is: 1,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.94 : 1,749.55 = 970.56 : x
  2. Step 2: Convert to fraction form
    1,268.94/1,749.55 = 970.56/x
  3. Step 3: Cross multiply
    1,268.94x = 1,749.55 × 970.56
  4. Step 4: Simplify right side
    1,268.94x = 1,698,043.25
  5. Step 5: Solve for x
    x = 1,698,043.25/1,268.94
  6. Step 6: Final answer
    x = 1,338.16

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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.