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Finding the Fourth Proportional to 1,140.75, 1,709.37 and 750.42

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Solution

The fourth proportional to 1,140.75, 1,709.37 and 750.42 is: 1,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.75 : 1,709.37 = 750.42 : x
  2. Step 2: Convert to fraction form
    1,140.75/1,709.37 = 750.42/x
  3. Step 3: Cross multiply
    1,140.75x = 1,709.37 × 750.42
  4. Step 4: Simplify right side
    1,140.75x = 1,282,745.44
  5. Step 5: Solve for x
    x = 1,282,745.44/1,140.75
  6. Step 6: Final answer
    x = 1,124.48

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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.