Home / 1,822.31-2,732.91-505.74

Finding the Fourth Proportional to 1,822.31, 2,732.91 and 505.74

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Solution

The fourth proportional to 1,822.31, 2,732.91 and 505.74 is: 758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.31 : 2,732.91 = 505.74 : x
  2. Step 2: Convert to fraction form
    1,822.31/2,732.91 = 505.74/x
  3. Step 3: Cross multiply
    1,822.31x = 2,732.91 × 505.74
  4. Step 4: Simplify right side
    1,822.31x = 1,382,139.37
  5. Step 5: Solve for x
    x = 1,382,139.37/1,822.31
  6. Step 6: Final answer
    x = 758.46

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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.