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Finding the Fourth Proportional to 741.94, 1,112.90 and 696.83

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Solution

The fourth proportional to 741.94, 1,112.90 and 696.83 is: 1,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.94 : 1,112.90 = 696.83 : x
  2. Step 2: Convert to fraction form
    741.94/1,112.90 = 696.83/x
  3. Step 3: Cross multiply
    741.94x = 1,112.90 × 696.83
  4. Step 4: Simplify right side
    741.94x = 775,493.06
  5. Step 5: Solve for x
    x = 775,493.06/741.94
  6. Step 6: Final answer
    x = 1,045.23

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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.