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Finding the Fourth Proportional to 921.40, 1,378.86 and 727

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Solution

The fourth proportional to 921.40, 1,378.86 and 727 is: 1,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.40 : 1,378.86 = 727 : x
  2. Step 2: Convert to fraction form
    921.40/1,378.86 = 727/x
  3. Step 3: Cross multiply
    921.40x = 1,378.86 × 727
  4. Step 4: Simplify right side
    921.40x = 1,002,431.22
  5. Step 5: Solve for x
    x = 1,002,431.22/921.40
  6. Step 6: Final answer
    x = 1,087.94

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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.