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Finding the Fourth Proportional to 479.44, 664.51 and 471.61

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Solution

The fourth proportional to 479.44, 664.51 and 471.61 is: 653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.44 : 664.51 = 471.61 : x
  2. Step 2: Convert to fraction form
    479.44/664.51 = 471.61/x
  3. Step 3: Cross multiply
    479.44x = 664.51 × 471.61
  4. Step 4: Simplify right side
    479.44x = 313,389.56
  5. Step 5: Solve for x
    x = 313,389.56/479.44
  6. Step 6: Final answer
    x = 653.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.