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Finding the Fourth Proportional to 983.97, 1,475.94 and 923.83

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Solution

The fourth proportional to 983.97, 1,475.94 and 923.83 is: 1,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.97 : 1,475.94 = 923.83 : x
  2. Step 2: Convert to fraction form
    983.97/1,475.94 = 923.83/x
  3. Step 3: Cross multiply
    983.97x = 1,475.94 × 923.83
  4. Step 4: Simplify right side
    983.97x = 1,363,517.42
  5. Step 5: Solve for x
    x = 1,363,517.42/983.97
  6. Step 6: Final answer
    x = 1,385.73

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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.