Home / 1,689.08-2,534.71-822.92

Finding the Fourth Proportional to 1,689.08, 2,534.71 and 822.92

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Solution

The fourth proportional to 1,689.08, 2,534.71 and 822.92 is: 1,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.08 : 2,534.71 = 822.92 : x
  2. Step 2: Convert to fraction form
    1,689.08/2,534.71 = 822.92/x
  3. Step 3: Cross multiply
    1,689.08x = 2,534.71 × 822.92
  4. Step 4: Simplify right side
    1,689.08x = 2,085,863.55
  5. Step 5: Solve for x
    x = 2,085,863.55/1,689.08
  6. Step 6: Final answer
    x = 1,234.91

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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.