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Finding the Fourth Proportional to 1,362.38, 2,044.36 and 815.62

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Solution

The fourth proportional to 1,362.38, 2,044.36 and 815.62 is: 1,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.38 : 2,044.36 = 815.62 : x
  2. Step 2: Convert to fraction form
    1,362.38/2,044.36 = 815.62/x
  3. Step 3: Cross multiply
    1,362.38x = 2,044.36 × 815.62
  4. Step 4: Simplify right side
    1,362.38x = 1,667,420.90
  5. Step 5: Solve for x
    x = 1,667,420.90/1,362.38
  6. Step 6: Final answer
    x = 1,223.90

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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.