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Finding the Fourth Proportional to 578.01, 866.87 and 269.56

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Solution

The fourth proportional to 578.01, 866.87 and 269.56 is: 404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.01 : 866.87 = 269.56 : x
  2. Step 2: Convert to fraction form
    578.01/866.87 = 269.56/x
  3. Step 3: Cross multiply
    578.01x = 866.87 × 269.56
  4. Step 4: Simplify right side
    578.01x = 233,674.22
  5. Step 5: Solve for x
    x = 233,674.22/578.01
  6. Step 6: Final answer
    x = 404.27

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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.