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Finding the Fourth Proportional to 927.27, 1,389.71 and 811.44

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Solution

The fourth proportional to 927.27, 1,389.71 and 811.44 is: 1,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.27 : 1,389.71 = 811.44 : x
  2. Step 2: Convert to fraction form
    927.27/1,389.71 = 811.44/x
  3. Step 3: Cross multiply
    927.27x = 1,389.71 × 811.44
  4. Step 4: Simplify right side
    927.27x = 1,127,662.23
  5. Step 5: Solve for x
    x = 1,127,662.23/927.27
  6. Step 6: Final answer
    x = 1,216.11

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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.