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Finding the Fourth Proportional to 772.32, 1,152.96 and 745.32

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Solution

The fourth proportional to 772.32, 1,152.96 and 745.32 is: 1,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.32 : 1,152.96 = 745.32 : x
  2. Step 2: Convert to fraction form
    772.32/1,152.96 = 745.32/x
  3. Step 3: Cross multiply
    772.32x = 1,152.96 × 745.32
  4. Step 4: Simplify right side
    772.32x = 859,324.15
  5. Step 5: Solve for x
    x = 859,324.15/772.32
  6. Step 6: Final answer
    x = 1,112.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.