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Finding the Fourth Proportional to 768.03, 1,057.66 and 721.11

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Solution

The fourth proportional to 768.03, 1,057.66 and 721.11 is: 993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.03 : 1,057.66 = 721.11 : x
  2. Step 2: Convert to fraction form
    768.03/1,057.66 = 721.11/x
  3. Step 3: Cross multiply
    768.03x = 1,057.66 × 721.11
  4. Step 4: Simplify right side
    768.03x = 762,689.20
  5. Step 5: Solve for x
    x = 762,689.20/768.03
  6. Step 6: Final answer
    x = 993.05

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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.