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Finding the Fourth Proportional to 472.27, 706.74 and 395.32

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Solution

The fourth proportional to 472.27, 706.74 and 395.32 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.27 : 706.74 = 395.32 : x
  2. Step 2: Convert to fraction form
    472.27/706.74 = 395.32/x
  3. Step 3: Cross multiply
    472.27x = 706.74 × 395.32
  4. Step 4: Simplify right side
    472.27x = 279,388.46
  5. Step 5: Solve for x
    x = 279,388.46/472.27
  6. Step 6: Final answer
    x = 591.59

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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.