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Finding the Fourth Proportional to 923.72, 1,384.38 and 806

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Solution

The fourth proportional to 923.72, 1,384.38 and 806 is: 1,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.72 : 1,384.38 = 806 : x
  2. Step 2: Convert to fraction form
    923.72/1,384.38 = 806/x
  3. Step 3: Cross multiply
    923.72x = 1,384.38 × 806
  4. Step 4: Simplify right side
    923.72x = 1,115,810.28
  5. Step 5: Solve for x
    x = 1,115,810.28/923.72
  6. Step 6: Final answer
    x = 1,207.95

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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.