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Finding the Fourth Proportional to 1,335.37, 1,842.78 and 737.83

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Solution

The fourth proportional to 1,335.37, 1,842.78 and 737.83 is: 1,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.37 : 1,842.78 = 737.83 : x
  2. Step 2: Convert to fraction form
    1,335.37/1,842.78 = 737.83/x
  3. Step 3: Cross multiply
    1,335.37x = 1,842.78 × 737.83
  4. Step 4: Simplify right side
    1,335.37x = 1,359,658.37
  5. Step 5: Solve for x
    x = 1,359,658.37/1,335.37
  6. Step 6: Final answer
    x = 1,018.19

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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.