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Finding the Fourth Proportional to 627.81, 866.49 and 365.91

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Solution

The fourth proportional to 627.81, 866.49 and 365.91 is: 505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.81 : 866.49 = 365.91 : x
  2. Step 2: Convert to fraction form
    627.81/866.49 = 365.91/x
  3. Step 3: Cross multiply
    627.81x = 866.49 × 365.91
  4. Step 4: Simplify right side
    627.81x = 317,057.36
  5. Step 5: Solve for x
    x = 317,057.36/627.81
  6. Step 6: Final answer
    x = 505.02

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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.