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Finding the Fourth Proportional to 742.91, 1,022.26 and 720.37

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Solution

The fourth proportional to 742.91, 1,022.26 and 720.37 is: 991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,022.26 = 720.37 : x
  2. Step 2: Convert to fraction form
    742.91/1,022.26 = 720.37/x
  3. Step 3: Cross multiply
    742.91x = 1,022.26 × 720.37
  4. Step 4: Simplify right side
    742.91x = 736,405.44
  5. Step 5: Solve for x
    x = 736,405.44/742.91
  6. Step 6: Final answer
    x = 991.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.