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Finding the Fourth Proportional to 1,743.95, 2,616.53 and 820.22

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Solution

The fourth proportional to 1,743.95, 2,616.53 and 820.22 is: 1,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.95 : 2,616.53 = 820.22 : x
  2. Step 2: Convert to fraction form
    1,743.95/2,616.53 = 820.22/x
  3. Step 3: Cross multiply
    1,743.95x = 2,616.53 × 820.22
  4. Step 4: Simplify right side
    1,743.95x = 2,146,113.05
  5. Step 5: Solve for x
    x = 2,146,113.05/1,743.95
  6. Step 6: Final answer
    x = 1,230.61

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1.5x scale

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.