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Finding the Fourth Proportional to 578.09, 866.75 and 269.93

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Solution

The fourth proportional to 578.09, 866.75 and 269.93 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.09 : 866.75 = 269.93 : x
  2. Step 2: Convert to fraction form
    578.09/866.75 = 269.93/x
  3. Step 3: Cross multiply
    578.09x = 866.75 × 269.93
  4. Step 4: Simplify right side
    578.09x = 233,964.16
  5. Step 5: Solve for x
    x = 233,964.16/578.09
  6. Step 6: Final answer
    x = 404.72

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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.