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Finding the Fourth Proportional to 512.08, 706.12 and 387.92

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Solution

The fourth proportional to 512.08, 706.12 and 387.92 is: 534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 706.12 = 387.92 : x
  2. Step 2: Convert to fraction form
    512.08/706.12 = 387.92/x
  3. Step 3: Cross multiply
    512.08x = 706.12 × 387.92
  4. Step 4: Simplify right side
    512.08x = 273,918.07
  5. Step 5: Solve for x
    x = 273,918.07/512.08
  6. Step 6: Final answer
    x = 534.91

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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.