Home / 1,371.14-2,053.05-822.57

Finding the Fourth Proportional to 1,371.14, 2,053.05 and 822.57

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Solution

The fourth proportional to 1,371.14, 2,053.05 and 822.57 is: 1,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.14 : 2,053.05 = 822.57 : x
  2. Step 2: Convert to fraction form
    1,371.14/2,053.05 = 822.57/x
  3. Step 3: Cross multiply
    1,371.14x = 2,053.05 × 822.57
  4. Step 4: Simplify right side
    1,371.14x = 1,688,777.34
  5. Step 5: Solve for x
    x = 1,688,777.34/1,371.14
  6. Step 6: Final answer
    x = 1,231.66

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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.