Home / 1,746.29-2,619.68-513.78

Finding the Fourth Proportional to 1,746.29, 2,619.68 and 513.78

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Solution

The fourth proportional to 1,746.29, 2,619.68 and 513.78 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.29 : 2,619.68 = 513.78 : x
  2. Step 2: Convert to fraction form
    1,746.29/2,619.68 = 513.78/x
  3. Step 3: Cross multiply
    1,746.29x = 2,619.68 × 513.78
  4. Step 4: Simplify right side
    1,746.29x = 1,345,936.62
  5. Step 5: Solve for x
    x = 1,345,936.62/1,746.29
  6. Step 6: Final answer
    x = 770.74

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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.