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Finding the Fourth Proportional to 921.39, 1,380.15 and 759.39

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Solution

The fourth proportional to 921.39, 1,380.15 and 759.39 is: 1,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.39 : 1,380.15 = 759.39 : x
  2. Step 2: Convert to fraction form
    921.39/1,380.15 = 759.39/x
  3. Step 3: Cross multiply
    921.39x = 1,380.15 × 759.39
  4. Step 4: Simplify right side
    921.39x = 1,048,072.11
  5. Step 5: Solve for x
    x = 1,048,072.11/921.39
  6. Step 6: Final answer
    x = 1,137.49

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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.