Home / 1,228.98-1,845.56-820.74

Finding the Fourth Proportional to 1,228.98, 1,845.56 and 820.74

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Solution

The fourth proportional to 1,228.98, 1,845.56 and 820.74 is: 1,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.98 : 1,845.56 = 820.74 : x
  2. Step 2: Convert to fraction form
    1,228.98/1,845.56 = 820.74/x
  3. Step 3: Cross multiply
    1,228.98x = 1,845.56 × 820.74
  4. Step 4: Simplify right side
    1,228.98x = 1,514,724.91
  5. Step 5: Solve for x
    x = 1,514,724.91/1,228.98
  6. Step 6: Final answer
    x = 1,232.51

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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.