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Finding the Fourth Proportional to 923.01, 1,382.14 and 819.19

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Solution

The fourth proportional to 923.01, 1,382.14 and 819.19 is: 1,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.01 : 1,382.14 = 819.19 : x
  2. Step 2: Convert to fraction form
    923.01/1,382.14 = 819.19/x
  3. Step 3: Cross multiply
    923.01x = 1,382.14 × 819.19
  4. Step 4: Simplify right side
    923.01x = 1,132,235.27
  5. Step 5: Solve for x
    x = 1,132,235.27/923.01
  6. Step 6: Final answer
    x = 1,226.68

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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.