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Finding the Fourth Proportional to 636.85, 873.22 and 574.44

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Solution

The fourth proportional to 636.85, 873.22 and 574.44 is: 787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.85 : 873.22 = 574.44 : x
  2. Step 2: Convert to fraction form
    636.85/873.22 = 574.44/x
  3. Step 3: Cross multiply
    636.85x = 873.22 × 574.44
  4. Step 4: Simplify right side
    636.85x = 501,612.50
  5. Step 5: Solve for x
    x = 501,612.50/636.85
  6. Step 6: Final answer
    x = 787.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.