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Finding the Fourth Proportional to 756.17, 1,134.04 and 269.09

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Solution

The fourth proportional to 756.17, 1,134.04 and 269.09 is: 403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.17 : 1,134.04 = 269.09 : x
  2. Step 2: Convert to fraction form
    756.17/1,134.04 = 269.09/x
  3. Step 3: Cross multiply
    756.17x = 1,134.04 × 269.09
  4. Step 4: Simplify right side
    756.17x = 305,158.82
  5. Step 5: Solve for x
    x = 305,158.82/756.17
  6. Step 6: Final answer
    x = 403.56

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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.