Home / 1,746.42-2,619.33-513.80

Finding the Fourth Proportional to 1,746.42, 2,619.33 and 513.80

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Solution

The fourth proportional to 1,746.42, 2,619.33 and 513.80 is: 770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.42 : 2,619.33 = 513.80 : x
  2. Step 2: Convert to fraction form
    1,746.42/2,619.33 = 513.80/x
  3. Step 3: Cross multiply
    1,746.42x = 2,619.33 × 513.80
  4. Step 4: Simplify right side
    1,746.42x = 1,345,811.75
  5. Step 5: Solve for x
    x = 1,345,811.75/1,746.42
  6. Step 6: Final answer
    x = 770.61

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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.