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Finding the Fourth Proportional to 1,214.02, 1,819.11 and 726.46

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Solution

The fourth proportional to 1,214.02, 1,819.11 and 726.46 is: 1,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.02 : 1,819.11 = 726.46 : x
  2. Step 2: Convert to fraction form
    1,214.02/1,819.11 = 726.46/x
  3. Step 3: Cross multiply
    1,214.02x = 1,819.11 × 726.46
  4. Step 4: Simplify right side
    1,214.02x = 1,321,510.65
  5. Step 5: Solve for x
    x = 1,321,510.65/1,214.02
  6. Step 6: Final answer
    x = 1,088.54

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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.