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Finding the Fourth Proportional to 627.88, 866.26 and 431.06

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Solution

The fourth proportional to 627.88, 866.26 and 431.06 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.88 : 866.26 = 431.06 : x
  2. Step 2: Convert to fraction form
    627.88/866.26 = 431.06/x
  3. Step 3: Cross multiply
    627.88x = 866.26 × 431.06
  4. Step 4: Simplify right side
    627.88x = 373,410.04
  5. Step 5: Solve for x
    x = 373,410.04/627.88
  6. Step 6: Final answer
    x = 594.72

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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.