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Finding the Fourth Proportional to 577.36, 866.46 and 289

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Solution

The fourth proportional to 577.36, 866.46 and 289 is: 433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.36 : 866.46 = 289 : x
  2. Step 2: Convert to fraction form
    577.36/866.46 = 289/x
  3. Step 3: Cross multiply
    577.36x = 866.46 × 289
  4. Step 4: Simplify right side
    577.36x = 250,406.94
  5. Step 5: Solve for x
    x = 250,406.94/577.36
  6. Step 6: Final answer
    x = 433.71

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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.