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Finding the Fourth Proportional to 763.72, 1,151.22 and 719.12

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Solution

The fourth proportional to 763.72, 1,151.22 and 719.12 is: 1,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.72 : 1,151.22 = 719.12 : x
  2. Step 2: Convert to fraction form
    763.72/1,151.22 = 719.12/x
  3. Step 3: Cross multiply
    763.72x = 1,151.22 × 719.12
  4. Step 4: Simplify right side
    763.72x = 827,865.33
  5. Step 5: Solve for x
    x = 827,865.33/763.72
  6. Step 6: Final answer
    x = 1,083.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.