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Finding the Fourth Proportional to 1,049.97, 1,448.92 and 607.83

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Solution

The fourth proportional to 1,049.97, 1,448.92 and 607.83 is: 838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.97 : 1,448.92 = 607.83 : x
  2. Step 2: Convert to fraction form
    1,049.97/1,448.92 = 607.83/x
  3. Step 3: Cross multiply
    1,049.97x = 1,448.92 × 607.83
  4. Step 4: Simplify right side
    1,049.97x = 880,697.04
  5. Step 5: Solve for x
    x = 880,697.04/1,049.97
  6. Step 6: Final answer
    x = 838.78

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Why These Related Problems?

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