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Finding the Fourth Proportional to 764.22, 1,151.97 and 719.63

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Solution

The fourth proportional to 764.22, 1,151.97 and 719.63 is: 1,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.22 : 1,151.97 = 719.63 : x
  2. Step 2: Convert to fraction form
    764.22/1,151.97 = 719.63/x
  3. Step 3: Cross multiply
    764.22x = 1,151.97 × 719.63
  4. Step 4: Simplify right side
    764.22x = 828,986.41
  5. Step 5: Solve for x
    x = 828,986.41/764.22
  6. Step 6: Final answer
    x = 1,084.75

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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.