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Finding the Fourth Proportional to 576.72, 794.48 and 493.56

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Solution

The fourth proportional to 576.72, 794.48 and 493.56 is: 679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.72 : 794.48 = 493.56 : x
  2. Step 2: Convert to fraction form
    576.72/794.48 = 493.56/x
  3. Step 3: Cross multiply
    576.72x = 794.48 × 493.56
  4. Step 4: Simplify right side
    576.72x = 392,123.55
  5. Step 5: Solve for x
    x = 392,123.55/576.72
  6. Step 6: Final answer
    x = 679.92

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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.