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Finding the Fourth Proportional to 1,333.08, 1,998.50 and 923

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Solution

The fourth proportional to 1,333.08, 1,998.50 and 923 is: 1,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.08 : 1,998.50 = 923 : x
  2. Step 2: Convert to fraction form
    1,333.08/1,998.50 = 923/x
  3. Step 3: Cross multiply
    1,333.08x = 1,998.50 × 923
  4. Step 4: Simplify right side
    1,333.08x = 1,844,615.50
  5. Step 5: Solve for x
    x = 1,844,615.50/1,333.08
  6. Step 6: Final answer
    x = 1,383.72

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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.