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Finding the Fourth Proportional to 1,768.17, 2,650.53 and 843.48

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Solution

The fourth proportional to 1,768.17, 2,650.53 and 843.48 is: 1,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.17 : 2,650.53 = 843.48 : x
  2. Step 2: Convert to fraction form
    1,768.17/2,650.53 = 843.48/x
  3. Step 3: Cross multiply
    1,768.17x = 2,650.53 × 843.48
  4. Step 4: Simplify right side
    1,768.17x = 2,235,669.04
  5. Step 5: Solve for x
    x = 2,235,669.04/1,768.17
  6. Step 6: Final answer
    x = 1,264.40

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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.