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Finding the Fourth Proportional to 1,333.54, 1,998.46 and 682.90

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Solution

The fourth proportional to 1,333.54, 1,998.46 and 682.90 is: 1,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.54 : 1,998.46 = 682.90 : x
  2. Step 2: Convert to fraction form
    1,333.54/1,998.46 = 682.90/x
  3. Step 3: Cross multiply
    1,333.54x = 1,998.46 × 682.90
  4. Step 4: Simplify right side
    1,333.54x = 1,364,748.33
  5. Step 5: Solve for x
    x = 1,364,748.33/1,333.54
  6. Step 6: Final answer
    x = 1,023.40

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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.