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Finding the Fourth Proportional to 494.72, 741.27 and 475.76

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Solution

The fourth proportional to 494.72, 741.27 and 475.76 is: 712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.72 : 741.27 = 475.76 : x
  2. Step 2: Convert to fraction form
    494.72/741.27 = 475.76/x
  3. Step 3: Cross multiply
    494.72x = 741.27 × 475.76
  4. Step 4: Simplify right side
    494.72x = 352,666.70
  5. Step 5: Solve for x
    x = 352,666.70/494.72
  6. Step 6: Final answer
    x = 712.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.