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Finding the Fourth Proportional to 1,362.43, 2,044.16 and 815.00

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Solution

The fourth proportional to 1,362.43, 2,044.16 and 815.00 is: 1,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.43 : 2,044.16 = 815.00 : x
  2. Step 2: Convert to fraction form
    1,362.43/2,044.16 = 815.00/x
  3. Step 3: Cross multiply
    1,362.43x = 2,044.16 × 815.00
  4. Step 4: Simplify right side
    1,362.43x = 1,665,990.08
  5. Step 5: Solve for x
    x = 1,665,990.08/1,362.43
  6. Step 6: Final answer
    x = 1,222.81

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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.