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Finding the Fourth Proportional to 577.28, 863.78 and 346.33

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Solution

The fourth proportional to 577.28, 863.78 and 346.33 is: 518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.28 : 863.78 = 346.33 : x
  2. Step 2: Convert to fraction form
    577.28/863.78 = 346.33/x
  3. Step 3: Cross multiply
    577.28x = 863.78 × 346.33
  4. Step 4: Simplify right side
    577.28x = 299,148.61
  5. Step 5: Solve for x
    x = 299,148.61/577.28
  6. Step 6: Final answer
    x = 518.21

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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.