Home / 1,746.14-2,618.82-513.63

Finding the Fourth Proportional to 1,746.14, 2,618.82 and 513.63

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Solution

The fourth proportional to 1,746.14, 2,618.82 and 513.63 is: 770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.14 : 2,618.82 = 513.63 : x
  2. Step 2: Convert to fraction form
    1,746.14/2,618.82 = 513.63/x
  3. Step 3: Cross multiply
    1,746.14x = 2,618.82 × 513.63
  4. Step 4: Simplify right side
    1,746.14x = 1,345,104.52
  5. Step 5: Solve for x
    x = 1,345,104.52/1,746.14
  6. Step 6: Final answer
    x = 770.33

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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.