Home / 1,033.70-1,426.46-614.11

Finding the Fourth Proportional to 1,033.70, 1,426.46 and 614.11

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Solution

The fourth proportional to 1,033.70, 1,426.46 and 614.11 is: 847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.70 : 1,426.46 = 614.11 : x
  2. Step 2: Convert to fraction form
    1,033.70/1,426.46 = 614.11/x
  3. Step 3: Cross multiply
    1,033.70x = 1,426.46 × 614.11
  4. Step 4: Simplify right side
    1,033.70x = 875,993.15
  5. Step 5: Solve for x
    x = 875,993.15/1,033.70
  6. Step 6: Final answer
    x = 847.43

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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.