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Finding the Fourth Proportional to 512.64, 707.45 and 279.77

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Solution

The fourth proportional to 512.64, 707.45 and 279.77 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.64 : 707.45 = 279.77 : x
  2. Step 2: Convert to fraction form
    512.64/707.45 = 279.77/x
  3. Step 3: Cross multiply
    512.64x = 707.45 × 279.77
  4. Step 4: Simplify right side
    512.64x = 197,923.29
  5. Step 5: Solve for x
    x = 197,923.29/512.64
  6. Step 6: Final answer
    x = 386.09

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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.