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Finding the Fourth Proportional to 1,429.74, 2,144.28 and 726.23

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Solution

The fourth proportional to 1,429.74, 2,144.28 and 726.23 is: 1,089.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.74 : 2,144.28 = 726.23 : x
  2. Step 2: Convert to fraction form
    1,429.74/2,144.28 = 726.23/x
  3. Step 3: Cross multiply
    1,429.74x = 2,144.28 × 726.23
  4. Step 4: Simplify right side
    1,429.74x = 1,557,246.51
  5. Step 5: Solve for x
    x = 1,557,246.51/1,429.74
  6. Step 6: Final answer
    x = 1,089.18

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Why These Related Problems?

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