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Finding the Fourth Proportional to 1,162.77, 1,743 and 752.21

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Solution

The fourth proportional to 1,162.77, 1,743 and 752.21 is: 1,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.77 : 1,743 = 752.21 : x
  2. Step 2: Convert to fraction form
    1,162.77/1,743 = 752.21/x
  3. Step 3: Cross multiply
    1,162.77x = 1,743 × 752.21
  4. Step 4: Simplify right side
    1,162.77x = 1,311,093.32
  5. Step 5: Solve for x
    x = 1,311,093.32/1,162.77
  6. Step 6: Final answer
    x = 1,127.56

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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.