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Finding the Fourth Proportional to 512.46, 707.40 and 338.22

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Solution

The fourth proportional to 512.46, 707.40 and 338.22 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 707.40 = 338.22 : x
  2. Step 2: Convert to fraction form
    512.46/707.40 = 338.22/x
  3. Step 3: Cross multiply
    512.46x = 707.40 × 338.22
  4. Step 4: Simplify right side
    512.46x = 239,256.83
  5. Step 5: Solve for x
    x = 239,256.83/512.46
  6. Step 6: Final answer
    x = 466.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.