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Finding the Fourth Proportional to 479.38, 664.40 and 470.74

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Solution

The fourth proportional to 479.38, 664.40 and 470.74 is: 652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.38 : 664.40 = 470.74 : x
  2. Step 2: Convert to fraction form
    479.38/664.40 = 470.74/x
  3. Step 3: Cross multiply
    479.38x = 664.40 × 470.74
  4. Step 4: Simplify right side
    479.38x = 312,757.30
  5. Step 5: Solve for x
    x = 312,757.30/479.38
  6. Step 6: Final answer
    x = 652.42

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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.