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Finding the Fourth Proportional to 474.27, 708.48 and 343.23

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Solution

The fourth proportional to 474.27, 708.48 and 343.23 is: 512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.27 : 708.48 = 343.23 : x
  2. Step 2: Convert to fraction form
    474.27/708.48 = 343.23/x
  3. Step 3: Cross multiply
    474.27x = 708.48 × 343.23
  4. Step 4: Simplify right side
    474.27x = 243,171.59
  5. Step 5: Solve for x
    x = 243,171.59/474.27
  6. Step 6: Final answer
    x = 512.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.