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Finding the Fourth Proportional to 577.94, 866.19 and 289.46

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Solution

The fourth proportional to 577.94, 866.19 and 289.46 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.94 : 866.19 = 289.46 : x
  2. Step 2: Convert to fraction form
    577.94/866.19 = 289.46/x
  3. Step 3: Cross multiply
    577.94x = 866.19 × 289.46
  4. Step 4: Simplify right side
    577.94x = 250,727.36
  5. Step 5: Solve for x
    x = 250,727.36/577.94
  6. Step 6: Final answer
    x = 433.83

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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.