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Finding the Fourth Proportional to 1,300.31, 1,795.79 and 1,122.92

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Solution

The fourth proportional to 1,300.31, 1,795.79 and 1,122.92 is: 1,550.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.31 : 1,795.79 = 1,122.92 : x
  2. Step 2: Convert to fraction form
    1,300.31/1,795.79 = 1,122.92/x
  3. Step 3: Cross multiply
    1,300.31x = 1,795.79 × 1,122.92
  4. Step 4: Simplify right side
    1,300.31x = 2,016,528.51
  5. Step 5: Solve for x
    x = 2,016,528.51/1,300.31
  6. Step 6: Final answer
    x = 1,550.81

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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.