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Finding the Fourth Proportional to 757.77, 1,129.59 and 716.73

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Solution

The fourth proportional to 757.77, 1,129.59 and 716.73 is: 1,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.77 : 1,129.59 = 716.73 : x
  2. Step 2: Convert to fraction form
    757.77/1,129.59 = 716.73/x
  3. Step 3: Cross multiply
    757.77x = 1,129.59 × 716.73
  4. Step 4: Simplify right side
    757.77x = 809,611.04
  5. Step 5: Solve for x
    x = 809,611.04/757.77
  6. Step 6: Final answer
    x = 1,068.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.