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Finding the Fourth Proportional to 923.96, 1,382.14 and 842.86

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Solution

The fourth proportional to 923.96, 1,382.14 and 842.86 is: 1,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.96 : 1,382.14 = 842.86 : x
  2. Step 2: Convert to fraction form
    923.96/1,382.14 = 842.86/x
  3. Step 3: Cross multiply
    923.96x = 1,382.14 × 842.86
  4. Step 4: Simplify right side
    923.96x = 1,164,939.40
  5. Step 5: Solve for x
    x = 1,164,939.40/923.96
  6. Step 6: Final answer
    x = 1,260.82

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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.