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Finding the Fourth Proportional to 923.28, 1,376.81 and 783.96

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Solution

The fourth proportional to 923.28, 1,376.81 and 783.96 is: 1,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.28 : 1,376.81 = 783.96 : x
  2. Step 2: Convert to fraction form
    923.28/1,376.81 = 783.96/x
  3. Step 3: Cross multiply
    923.28x = 1,376.81 × 783.96
  4. Step 4: Simplify right side
    923.28x = 1,079,360.05
  5. Step 5: Solve for x
    x = 1,079,360.05/923.28
  6. Step 6: Final answer
    x = 1,169.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.