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Finding the Fourth Proportional to 773.21, 1,064.36 and 674.79

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Solution

The fourth proportional to 773.21, 1,064.36 and 674.79 is: 928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.21 : 1,064.36 = 674.79 : x
  2. Step 2: Convert to fraction form
    773.21/1,064.36 = 674.79/x
  3. Step 3: Cross multiply
    773.21x = 1,064.36 × 674.79
  4. Step 4: Simplify right side
    773.21x = 718,216.11
  5. Step 5: Solve for x
    x = 718,216.11/773.21
  6. Step 6: Final answer
    x = 928.88

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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.