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Finding the Fourth Proportional to 772.68, 1,151.56 and 771.48

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Solution

The fourth proportional to 772.68, 1,151.56 and 771.48 is: 1,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.68 : 1,151.56 = 771.48 : x
  2. Step 2: Convert to fraction form
    772.68/1,151.56 = 771.48/x
  3. Step 3: Cross multiply
    772.68x = 1,151.56 × 771.48
  4. Step 4: Simplify right side
    772.68x = 888,405.51
  5. Step 5: Solve for x
    x = 888,405.51/772.68
  6. Step 6: Final answer
    x = 1,149.77

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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.