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Finding the Fourth Proportional to 756.55, 1,134.75 and 269.59

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Solution

The fourth proportional to 756.55, 1,134.75 and 269.59 is: 404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.55 : 1,134.75 = 269.59 : x
  2. Step 2: Convert to fraction form
    756.55/1,134.75 = 269.59/x
  3. Step 3: Cross multiply
    756.55x = 1,134.75 × 269.59
  4. Step 4: Simplify right side
    756.55x = 305,917.25
  5. Step 5: Solve for x
    x = 305,917.25/756.55
  6. Step 6: Final answer
    x = 404.36

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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.