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Finding the Fourth Proportional to 512.57, 707.36 and 279.70

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Solution

The fourth proportional to 512.57, 707.36 and 279.70 is: 385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.57 : 707.36 = 279.70 : x
  2. Step 2: Convert to fraction form
    512.57/707.36 = 279.70/x
  3. Step 3: Cross multiply
    512.57x = 707.36 × 279.70
  4. Step 4: Simplify right side
    512.57x = 197,843.66
  5. Step 5: Solve for x
    x = 197,843.66/512.57
  6. Step 6: Final answer
    x = 385.98

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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.