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Finding the Fourth Proportional to 762.72, 1,141.26 and 721.02

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Solution

The fourth proportional to 762.72, 1,141.26 and 721.02 is: 1,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.72 : 1,141.26 = 721.02 : x
  2. Step 2: Convert to fraction form
    762.72/1,141.26 = 721.02/x
  3. Step 3: Cross multiply
    762.72x = 1,141.26 × 721.02
  4. Step 4: Simplify right side
    762.72x = 822,871.29
  5. Step 5: Solve for x
    x = 822,871.29/762.72
  6. Step 6: Final answer
    x = 1,078.86

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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.