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Finding the Fourth Proportional to 512.08, 705.90 and 387.88

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Solution

The fourth proportional to 512.08, 705.90 and 387.88 is: 534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 705.90 = 387.88 : x
  2. Step 2: Convert to fraction form
    512.08/705.90 = 387.88/x
  3. Step 3: Cross multiply
    512.08x = 705.90 × 387.88
  4. Step 4: Simplify right side
    512.08x = 273,804.49
  5. Step 5: Solve for x
    x = 273,804.49/512.08
  6. Step 6: Final answer
    x = 534.69

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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.