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Finding the Fourth Proportional to 578.32, 863.27 and 535.49

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Solution

The fourth proportional to 578.32, 863.27 and 535.49 is: 799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.32 : 863.27 = 535.49 : x
  2. Step 2: Convert to fraction form
    578.32/863.27 = 535.49/x
  3. Step 3: Cross multiply
    578.32x = 863.27 × 535.49
  4. Step 4: Simplify right side
    578.32x = 462,272.45
  5. Step 5: Solve for x
    x = 462,272.45/578.32
  6. Step 6: Final answer
    x = 799.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.