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Finding the Fourth Proportional to 512.86, 707.73 and 279.98

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Solution

The fourth proportional to 512.86, 707.73 and 279.98 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.86 : 707.73 = 279.98 : x
  2. Step 2: Convert to fraction form
    512.86/707.73 = 279.98/x
  3. Step 3: Cross multiply
    512.86x = 707.73 × 279.98
  4. Step 4: Simplify right side
    512.86x = 198,150.25
  5. Step 5: Solve for x
    x = 198,150.25/512.86
  6. Step 6: Final answer
    x = 386.37

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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.