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Finding the Fourth Proportional to 627.90, 866.85 and 418.36

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Solution

The fourth proportional to 627.90, 866.85 and 418.36 is: 577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.90 : 866.85 = 418.36 : x
  2. Step 2: Convert to fraction form
    627.90/866.85 = 418.36/x
  3. Step 3: Cross multiply
    627.90x = 866.85 × 418.36
  4. Step 4: Simplify right side
    627.90x = 362,655.37
  5. Step 5: Solve for x
    x = 362,655.37/627.90
  6. Step 6: Final answer
    x = 577.57

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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.