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Finding the Fourth Proportional to 512.92, 707.84 and 280.05

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Solution

The fourth proportional to 512.92, 707.84 and 280.05 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 707.84 = 280.05 : x
  2. Step 2: Convert to fraction form
    512.92/707.84 = 280.05/x
  3. Step 3: Cross multiply
    512.92x = 707.84 × 280.05
  4. Step 4: Simplify right side
    512.92x = 198,230.59
  5. Step 5: Solve for x
    x = 198,230.59/512.92
  6. Step 6: Final answer
    x = 386.47

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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.