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Finding the Fourth Proportional to 582.44, 872.22 and 572.42

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Solution

The fourth proportional to 582.44, 872.22 and 572.42 is: 857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.44 : 872.22 = 572.42 : x
  2. Step 2: Convert to fraction form
    582.44/872.22 = 572.42/x
  3. Step 3: Cross multiply
    582.44x = 872.22 × 572.42
  4. Step 4: Simplify right side
    582.44x = 499,272.37
  5. Step 5: Solve for x
    x = 499,272.37/582.44
  6. Step 6: Final answer
    x = 857.21

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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.