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Finding the Fourth Proportional to 577.27, 866.20 and 288.69

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Solution

The fourth proportional to 577.27, 866.20 and 288.69 is: 433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.27 : 866.20 = 288.69 : x
  2. Step 2: Convert to fraction form
    577.27/866.20 = 288.69/x
  3. Step 3: Cross multiply
    577.27x = 866.20 × 288.69
  4. Step 4: Simplify right side
    577.27x = 250,061.47
  5. Step 5: Solve for x
    x = 250,061.47/577.27
  6. Step 6: Final answer
    x = 433.18

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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.