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Finding the Fourth Proportional to 577.45, 866.49 and 269.45

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Solution

The fourth proportional to 577.45, 866.49 and 269.45 is: 404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.45 : 866.49 = 269.45 : x
  2. Step 2: Convert to fraction form
    577.45/866.49 = 269.45/x
  3. Step 3: Cross multiply
    577.45x = 866.49 × 269.45
  4. Step 4: Simplify right side
    577.45x = 233,475.73
  5. Step 5: Solve for x
    x = 233,475.73/577.45
  6. Step 6: Final answer
    x = 404.32

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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.