Home / 1,364.30-2,042.40-816.20

Finding the Fourth Proportional to 1,364.30, 2,042.40 and 816.20

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Solution

The fourth proportional to 1,364.30, 2,042.40 and 816.20 is: 1,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.30 : 2,042.40 = 816.20 : x
  2. Step 2: Convert to fraction form
    1,364.30/2,042.40 = 816.20/x
  3. Step 3: Cross multiply
    1,364.30x = 2,042.40 × 816.20
  4. Step 4: Simplify right side
    1,364.30x = 1,667,006.88
  5. Step 5: Solve for x
    x = 1,667,006.88/1,364.30
  6. Step 6: Final answer
    x = 1,221.88

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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.