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Finding the Fourth Proportional to 1,212.15, 1,815.43 and 724.13

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Solution

The fourth proportional to 1,212.15, 1,815.43 and 724.13 is: 1,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.15 : 1,815.43 = 724.13 : x
  2. Step 2: Convert to fraction form
    1,212.15/1,815.43 = 724.13/x
  3. Step 3: Cross multiply
    1,212.15x = 1,815.43 × 724.13
  4. Step 4: Simplify right side
    1,212.15x = 1,314,607.33
  5. Step 5: Solve for x
    x = 1,314,607.33/1,212.15
  6. Step 6: Final answer
    x = 1,084.53

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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.