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Finding the Fourth Proportional to 1,333.34, 1,840.01 and 743.88

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Solution

The fourth proportional to 1,333.34, 1,840.01 and 743.88 is: 1,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.34 : 1,840.01 = 743.88 : x
  2. Step 2: Convert to fraction form
    1,333.34/1,840.01 = 743.88/x
  3. Step 3: Cross multiply
    1,333.34x = 1,840.01 × 743.88
  4. Step 4: Simplify right side
    1,333.34x = 1,368,744.83
  5. Step 5: Solve for x
    x = 1,368,744.83/1,333.34
  6. Step 6: Final answer
    x = 1,026.55

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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.