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Finding the Fourth Proportional to 1,333.34, 1,840.04 and 743.91

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Solution

The fourth proportional to 1,333.34, 1,840.04 and 743.91 is: 1,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.34 : 1,840.04 = 743.91 : x
  2. Step 2: Convert to fraction form
    1,333.34/1,840.04 = 743.91/x
  3. Step 3: Cross multiply
    1,333.34x = 1,840.04 × 743.91
  4. Step 4: Simplify right side
    1,333.34x = 1,368,826.02
  5. Step 5: Solve for x
    x = 1,368,826.02/1,333.34
  6. Step 6: Final answer
    x = 1,026.62

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