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Finding the Fourth Proportional to 1,333.43, 1,840.13 and 743.97

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Solution

The fourth proportional to 1,333.43, 1,840.13 and 743.97 is: 1,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.43 : 1,840.13 = 743.97 : x
  2. Step 2: Convert to fraction form
    1,333.43/1,840.13 = 743.97/x
  3. Step 3: Cross multiply
    1,333.43x = 1,840.13 × 743.97
  4. Step 4: Simplify right side
    1,333.43x = 1,368,990.46
  5. Step 5: Solve for x
    x = 1,368,990.46/1,333.43
  6. Step 6: Final answer
    x = 1,026.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.