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Finding the Fourth Proportional to 627.44, 866.04 and 431.44

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Solution

The fourth proportional to 627.44, 866.04 and 431.44 is: 595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.44 : 866.04 = 431.44 : x
  2. Step 2: Convert to fraction form
    627.44/866.04 = 431.44/x
  3. Step 3: Cross multiply
    627.44x = 866.04 × 431.44
  4. Step 4: Simplify right side
    627.44x = 373,644.30
  5. Step 5: Solve for x
    x = 373,644.30/627.44
  6. Step 6: Final answer
    x = 595.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.