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Finding the Fourth Proportional to 921.70, 1,382.55 and 727.30

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Solution

The fourth proportional to 921.70, 1,382.55 and 727.30 is: 1,090.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.70 : 1,382.55 = 727.30 : x
  2. Step 2: Convert to fraction form
    921.70/1,382.55 = 727.30/x
  3. Step 3: Cross multiply
    921.70x = 1,382.55 × 727.30
  4. Step 4: Simplify right side
    921.70x = 1,005,528.62
  5. Step 5: Solve for x
    x = 1,005,528.62/921.70
  6. Step 6: Final answer
    x = 1,090.95

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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.