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Finding the Fourth Proportional to 923.28, 1,382.06 and 690.80

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Solution

The fourth proportional to 923.28, 1,382.06 and 690.80 is: 1,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.28 : 1,382.06 = 690.80 : x
  2. Step 2: Convert to fraction form
    923.28/1,382.06 = 690.80/x
  3. Step 3: Cross multiply
    923.28x = 1,382.06 × 690.80
  4. Step 4: Simplify right side
    923.28x = 954,727.05
  5. Step 5: Solve for x
    x = 954,727.05/923.28
  6. Step 6: Final answer
    x = 1,034.06

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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.