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Finding the Fourth Proportional to 512.34, 707.32 and 338.19

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Solution

The fourth proportional to 512.34, 707.32 and 338.19 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 707.32 = 338.19 : x
  2. Step 2: Convert to fraction form
    512.34/707.32 = 338.19/x
  3. Step 3: Cross multiply
    512.34x = 707.32 × 338.19
  4. Step 4: Simplify right side
    512.34x = 239,204.42
  5. Step 5: Solve for x
    x = 239,204.42/512.34
  6. Step 6: Final answer
    x = 466.89

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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.