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Finding the Fourth Proportional to 1,231.20, 1,844.10 and 905.58

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Solution

The fourth proportional to 1,231.20, 1,844.10 and 905.58 is: 1,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.20 : 1,844.10 = 905.58 : x
  2. Step 2: Convert to fraction form
    1,231.20/1,844.10 = 905.58/x
  3. Step 3: Cross multiply
    1,231.20x = 1,844.10 × 905.58
  4. Step 4: Simplify right side
    1,231.20x = 1,669,980.08
  5. Step 5: Solve for x
    x = 1,669,980.08/1,231.20
  6. Step 6: Final answer
    x = 1,356.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.