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Finding the Fourth Proportional to 577.82, 866.34 and 392.78

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Solution

The fourth proportional to 577.82, 866.34 and 392.78 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.82 : 866.34 = 392.78 : x
  2. Step 2: Convert to fraction form
    577.82/866.34 = 392.78/x
  3. Step 3: Cross multiply
    577.82x = 866.34 × 392.78
  4. Step 4: Simplify right side
    577.82x = 340,283.19
  5. Step 5: Solve for x
    x = 340,283.19/577.82
  6. Step 6: Final answer
    x = 588.91

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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.