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Finding the Fourth Proportional to 1,767.21, 2,650.82 and 613.05

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Solution

The fourth proportional to 1,767.21, 2,650.82 and 613.05 is: 919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.21 : 2,650.82 = 613.05 : x
  2. Step 2: Convert to fraction form
    1,767.21/2,650.82 = 613.05/x
  3. Step 3: Cross multiply
    1,767.21x = 2,650.82 × 613.05
  4. Step 4: Simplify right side
    1,767.21x = 1,625,082.14
  5. Step 5: Solve for x
    x = 1,625,082.14/1,767.21
  6. Step 6: Final answer
    x = 919.58

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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.