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Finding the Fourth Proportional to 772.68, 1,157.52 and 733.32

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Solution

The fourth proportional to 772.68, 1,157.52 and 733.32 is: 1,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.68 : 1,157.52 = 733.32 : x
  2. Step 2: Convert to fraction form
    772.68/1,157.52 = 733.32/x
  3. Step 3: Cross multiply
    772.68x = 1,157.52 × 733.32
  4. Step 4: Simplify right side
    772.68x = 848,832.57
  5. Step 5: Solve for x
    x = 848,832.57/772.68
  6. Step 6: Final answer
    x = 1,098.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.