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Finding the Fourth Proportional to 1,214.49, 1,821.79 and 726.47

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Solution

The fourth proportional to 1,214.49, 1,821.79 and 726.47 is: 1,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.49 : 1,821.79 = 726.47 : x
  2. Step 2: Convert to fraction form
    1,214.49/1,821.79 = 726.47/x
  3. Step 3: Cross multiply
    1,214.49x = 1,821.79 × 726.47
  4. Step 4: Simplify right side
    1,214.49x = 1,323,474.41
  5. Step 5: Solve for x
    x = 1,323,474.41/1,214.49
  6. Step 6: Final answer
    x = 1,089.73

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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.