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Finding the Fourth Proportional to 1,294.64, 1,930.81 and 1,170.08

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Solution

The fourth proportional to 1,294.64, 1,930.81 and 1,170.08 is: 1,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.64 : 1,930.81 = 1,170.08 : x
  2. Step 2: Convert to fraction form
    1,294.64/1,930.81 = 1,170.08/x
  3. Step 3: Cross multiply
    1,294.64x = 1,930.81 × 1,170.08
  4. Step 4: Simplify right side
    1,294.64x = 2,259,189.59
  5. Step 5: Solve for x
    x = 2,259,189.59/1,294.64
  6. Step 6: Final answer
    x = 1,745.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.