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Finding the Fourth Proportional to 764.18, 1,152.56 and 739.56

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Solution

The fourth proportional to 764.18, 1,152.56 and 739.56 is: 1,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.18 : 1,152.56 = 739.56 : x
  2. Step 2: Convert to fraction form
    764.18/1,152.56 = 739.56/x
  3. Step 3: Cross multiply
    764.18x = 1,152.56 × 739.56
  4. Step 4: Simplify right side
    764.18x = 852,387.27
  5. Step 5: Solve for x
    x = 852,387.27/764.18
  6. Step 6: Final answer
    x = 1,115.43

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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.