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Finding the Fourth Proportional to 512.43, 769.01 and 474.42

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Solution

The fourth proportional to 512.43, 769.01 and 474.42 is: 711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.43 : 769.01 = 474.42 : x
  2. Step 2: Convert to fraction form
    512.43/769.01 = 474.42/x
  3. Step 3: Cross multiply
    512.43x = 769.01 × 474.42
  4. Step 4: Simplify right side
    512.43x = 364,831.35
  5. Step 5: Solve for x
    x = 364,831.35/512.43
  6. Step 6: Final answer
    x = 711.96

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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.