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Finding the Fourth Proportional to 576.22, 794.70 and 492.79

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Solution

The fourth proportional to 576.22, 794.70 and 492.79 is: 679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.22 : 794.70 = 492.79 : x
  2. Step 2: Convert to fraction form
    576.22/794.70 = 492.79/x
  3. Step 3: Cross multiply
    576.22x = 794.70 × 492.79
  4. Step 4: Simplify right side
    576.22x = 391,620.21
  5. Step 5: Solve for x
    x = 391,620.21/576.22
  6. Step 6: Final answer
    x = 679.64

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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.