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Finding the Fourth Proportional to 756.01, 1,134.17 and 269.05

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Solution

The fourth proportional to 756.01, 1,134.17 and 269.05 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.01 : 1,134.17 = 269.05 : x
  2. Step 2: Convert to fraction form
    756.01/1,134.17 = 269.05/x
  3. Step 3: Cross multiply
    756.01x = 1,134.17 × 269.05
  4. Step 4: Simplify right side
    756.01x = 305,141.42
  5. Step 5: Solve for x
    x = 305,141.42/756.01
  6. Step 6: Final answer
    x = 403.62

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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.