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Finding the Fourth Proportional to 565.42, 845.82 and 427.44

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Solution

The fourth proportional to 565.42, 845.82 and 427.44 is: 639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.42 : 845.82 = 427.44 : x
  2. Step 2: Convert to fraction form
    565.42/845.82 = 427.44/x
  3. Step 3: Cross multiply
    565.42x = 845.82 × 427.44
  4. Step 4: Simplify right side
    565.42x = 361,537.30
  5. Step 5: Solve for x
    x = 361,537.30/565.42
  6. Step 6: Final answer
    x = 639.41

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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.