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Finding the Fourth Proportional to 923.83, 1,383.28 and 676.87

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Solution

The fourth proportional to 923.83, 1,383.28 and 676.87 is: 1,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.83 : 1,383.28 = 676.87 : x
  2. Step 2: Convert to fraction form
    923.83/1,383.28 = 676.87/x
  3. Step 3: Cross multiply
    923.83x = 1,383.28 × 676.87
  4. Step 4: Simplify right side
    923.83x = 936,300.73
  5. Step 5: Solve for x
    x = 936,300.73/923.83
  6. Step 6: Final answer
    x = 1,013.50

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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.