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Finding the Fourth Proportional to 1,137.31, 1,705.90 and 367.75

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Solution

The fourth proportional to 1,137.31, 1,705.90 and 367.75 is: 551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.31 : 1,705.90 = 367.75 : x
  2. Step 2: Convert to fraction form
    1,137.31/1,705.90 = 367.75/x
  3. Step 3: Cross multiply
    1,137.31x = 1,705.90 × 367.75
  4. Step 4: Simplify right side
    1,137.31x = 627,344.73
  5. Step 5: Solve for x
    x = 627,344.73/1,137.31
  6. Step 6: Final answer
    x = 551.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.