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Finding the Fourth Proportional to 578.20, 862.22 and 533.32

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Solution

The fourth proportional to 578.20, 862.22 and 533.32 is: 795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 862.22 = 533.32 : x
  2. Step 2: Convert to fraction form
    578.20/862.22 = 533.32/x
  3. Step 3: Cross multiply
    578.20x = 862.22 × 533.32
  4. Step 4: Simplify right side
    578.20x = 459,839.17
  5. Step 5: Solve for x
    x = 459,839.17/578.20
  6. Step 6: Final answer
    x = 795.29

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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.