Home / 1,364.23-2,046.35-814.44

Finding the Fourth Proportional to 1,364.23, 2,046.35 and 814.44

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Solution

The fourth proportional to 1,364.23, 2,046.35 and 814.44 is: 1,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.23 : 2,046.35 = 814.44 : x
  2. Step 2: Convert to fraction form
    1,364.23/2,046.35 = 814.44/x
  3. Step 3: Cross multiply
    1,364.23x = 2,046.35 × 814.44
  4. Step 4: Simplify right side
    1,364.23x = 1,666,629.29
  5. Step 5: Solve for x
    x = 1,666,629.29/1,364.23
  6. Step 6: Final answer
    x = 1,221.66

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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.