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Finding the Fourth Proportional to 1,759.77, 2,638.44 and 772.11

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Solution

The fourth proportional to 1,759.77, 2,638.44 and 772.11 is: 1,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.77 : 2,638.44 = 772.11 : x
  2. Step 2: Convert to fraction form
    1,759.77/2,638.44 = 772.11/x
  3. Step 3: Cross multiply
    1,759.77x = 2,638.44 × 772.11
  4. Step 4: Simplify right side
    1,759.77x = 2,037,165.91
  5. Step 5: Solve for x
    x = 2,037,165.91/1,759.77
  6. Step 6: Final answer
    x = 1,157.63

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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.