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Finding the Fourth Proportional to 923.08, 1,382.84 and 576.55

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Solution

The fourth proportional to 923.08, 1,382.84 and 576.55 is: 863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.08 : 1,382.84 = 576.55 : x
  2. Step 2: Convert to fraction form
    923.08/1,382.84 = 576.55/x
  3. Step 3: Cross multiply
    923.08x = 1,382.84 × 576.55
  4. Step 4: Simplify right side
    923.08x = 797,266.61
  5. Step 5: Solve for x
    x = 797,266.61/923.08
  6. Step 6: Final answer
    x = 863.71

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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.