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Finding the Fourth Proportional to 1,213.36, 1,817.51 and 726.14

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Solution

The fourth proportional to 1,213.36, 1,817.51 and 726.14 is: 1,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.36 : 1,817.51 = 726.14 : x
  2. Step 2: Convert to fraction form
    1,213.36/1,817.51 = 726.14/x
  3. Step 3: Cross multiply
    1,213.36x = 1,817.51 × 726.14
  4. Step 4: Simplify right side
    1,213.36x = 1,319,767.62
  5. Step 5: Solve for x
    x = 1,319,767.62/1,213.36
  6. Step 6: Final answer
    x = 1,087.70

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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.