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Finding the Fourth Proportional to 1,174.45, 1,759.75 and 712.38

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Solution

The fourth proportional to 1,174.45, 1,759.75 and 712.38 is: 1,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.45 : 1,759.75 = 712.38 : x
  2. Step 2: Convert to fraction form
    1,174.45/1,759.75 = 712.38/x
  3. Step 3: Cross multiply
    1,174.45x = 1,759.75 × 712.38
  4. Step 4: Simplify right side
    1,174.45x = 1,253,612.93
  5. Step 5: Solve for x
    x = 1,253,612.93/1,174.45
  6. Step 6: Final answer
    x = 1,067.40

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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.