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Finding the Fourth Proportional to 772.97, 1,064.01 and 674.56

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Solution

The fourth proportional to 772.97, 1,064.01 and 674.56 is: 928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.97 : 1,064.01 = 674.56 : x
  2. Step 2: Convert to fraction form
    772.97/1,064.01 = 674.56/x
  3. Step 3: Cross multiply
    772.97x = 1,064.01 × 674.56
  4. Step 4: Simplify right side
    772.97x = 717,733.27
  5. Step 5: Solve for x
    x = 717,733.27/772.97
  6. Step 6: Final answer
    x = 928.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.