Home / 1,020.56-1,408.52-823.76

Finding the Fourth Proportional to 1,020.56, 1,408.52 and 823.76

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Solution

The fourth proportional to 1,020.56, 1,408.52 and 823.76 is: 1,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.56 : 1,408.52 = 823.76 : x
  2. Step 2: Convert to fraction form
    1,020.56/1,408.52 = 823.76/x
  3. Step 3: Cross multiply
    1,020.56x = 1,408.52 × 823.76
  4. Step 4: Simplify right side
    1,020.56x = 1,160,282.44
  5. Step 5: Solve for x
    x = 1,160,282.44/1,020.56
  6. Step 6: Final answer
    x = 1,136.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.