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Finding the Fourth Proportional to 512.84, 707.80 and 338.08

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Solution

The fourth proportional to 512.84, 707.80 and 338.08 is: 466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 707.80 = 338.08 : x
  2. Step 2: Convert to fraction form
    512.84/707.80 = 338.08/x
  3. Step 3: Cross multiply
    512.84x = 707.80 × 338.08
  4. Step 4: Simplify right side
    512.84x = 239,293.02
  5. Step 5: Solve for x
    x = 239,293.02/512.84
  6. Step 6: Final answer
    x = 466.60

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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.