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Finding the Fourth Proportional to 627.75, 866.49 and 420.75

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Solution

The fourth proportional to 627.75, 866.49 and 420.75 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 866.49 = 420.75 : x
  2. Step 2: Convert to fraction form
    627.75/866.49 = 420.75/x
  3. Step 3: Cross multiply
    627.75x = 866.49 × 420.75
  4. Step 4: Simplify right side
    627.75x = 364,575.67
  5. Step 5: Solve for x
    x = 364,575.67/627.75
  6. Step 6: Final answer
    x = 580.77

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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.