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Finding the Fourth Proportional to 1,170.35, 1,749.90 and 1,067.07

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Solution

The fourth proportional to 1,170.35, 1,749.90 and 1,067.07 is: 1,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.35 : 1,749.90 = 1,067.07 : x
  2. Step 2: Convert to fraction form
    1,170.35/1,749.90 = 1,067.07/x
  3. Step 3: Cross multiply
    1,170.35x = 1,749.90 × 1,067.07
  4. Step 4: Simplify right side
    1,170.35x = 1,867,276.36
  5. Step 5: Solve for x
    x = 1,867,276.36/1,170.35
  6. Step 6: Final answer
    x = 1,595.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.