Home / 1,033.47-1,426.14-614.09

Finding the Fourth Proportional to 1,033.47, 1,426.14 and 614.09

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Solution

The fourth proportional to 1,033.47, 1,426.14 and 614.09 is: 847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.47 : 1,426.14 = 614.09 : x
  2. Step 2: Convert to fraction form
    1,033.47/1,426.14 = 614.09/x
  3. Step 3: Cross multiply
    1,033.47x = 1,426.14 × 614.09
  4. Step 4: Simplify right side
    1,033.47x = 875,781.88
  5. Step 5: Solve for x
    x = 875,781.88/1,033.47
  6. Step 6: Final answer
    x = 847.42

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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.