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Finding the Fourth Proportional to 762.33, 1,052.72 and 721.41

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Solution

The fourth proportional to 762.33, 1,052.72 and 721.41 is: 996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.33 : 1,052.72 = 721.41 : x
  2. Step 2: Convert to fraction form
    762.33/1,052.72 = 721.41/x
  3. Step 3: Cross multiply
    762.33x = 1,052.72 × 721.41
  4. Step 4: Simplify right side
    762.33x = 759,439.13
  5. Step 5: Solve for x
    x = 759,439.13/762.33
  6. Step 6: Final answer
    x = 996.21

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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.