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Finding the Fourth Proportional to 1,747.55, 2,621.88 and 823.07

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Solution

The fourth proportional to 1,747.55, 2,621.88 and 823.07 is: 1,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.55 : 2,621.88 = 823.07 : x
  2. Step 2: Convert to fraction form
    1,747.55/2,621.88 = 823.07/x
  3. Step 3: Cross multiply
    1,747.55x = 2,621.88 × 823.07
  4. Step 4: Simplify right side
    1,747.55x = 2,157,997.33
  5. Step 5: Solve for x
    x = 2,157,997.33/1,747.55
  6. Step 6: Final answer
    x = 1,234.87

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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.