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Finding the Fourth Proportional to 764.29, 1,059.55 and 722.72

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Solution

The fourth proportional to 764.29, 1,059.55 and 722.72 is: 1,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.29 : 1,059.55 = 722.72 : x
  2. Step 2: Convert to fraction form
    764.29/1,059.55 = 722.72/x
  3. Step 3: Cross multiply
    764.29x = 1,059.55 × 722.72
  4. Step 4: Simplify right side
    764.29x = 765,757.98
  5. Step 5: Solve for x
    x = 765,757.98/764.29
  6. Step 6: Final answer
    x = 1,001.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.