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Finding the Fourth Proportional to 512.88, 707.58 and 338.28

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Solution

The fourth proportional to 512.88, 707.58 and 338.28 is: 466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.88 : 707.58 = 338.28 : x
  2. Step 2: Convert to fraction form
    512.88/707.58 = 338.28/x
  3. Step 3: Cross multiply
    512.88x = 707.58 × 338.28
  4. Step 4: Simplify right side
    512.88x = 239,360.16
  5. Step 5: Solve for x
    x = 239,360.16/512.88
  6. Step 6: Final answer
    x = 466.70

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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.