Home / 1,330.14-1,996.16-892.23

Finding the Fourth Proportional to 1,330.14, 1,996.16 and 892.23

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Solution

The fourth proportional to 1,330.14, 1,996.16 and 892.23 is: 1,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.14 : 1,996.16 = 892.23 : x
  2. Step 2: Convert to fraction form
    1,330.14/1,996.16 = 892.23/x
  3. Step 3: Cross multiply
    1,330.14x = 1,996.16 × 892.23
  4. Step 4: Simplify right side
    1,330.14x = 1,781,029.38
  5. Step 5: Solve for x
    x = 1,781,029.38/1,330.14
  6. Step 6: Final answer
    x = 1,338.98

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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.