Home / 1,689.39-2,529.05-1,029.29

Finding the Fourth Proportional to 1,689.39, 2,529.05 and 1,029.29

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Solution

The fourth proportional to 1,689.39, 2,529.05 and 1,029.29 is: 1,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.39 : 2,529.05 = 1,029.29 : x
  2. Step 2: Convert to fraction form
    1,689.39/2,529.05 = 1,029.29/x
  3. Step 3: Cross multiply
    1,689.39x = 2,529.05 × 1,029.29
  4. Step 4: Simplify right side
    1,689.39x = 2,603,108.08
  5. Step 5: Solve for x
    x = 2,603,108.08/1,689.39
  6. Step 6: Final answer
    x = 1,540.86

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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.