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Finding the Fourth Proportional to 512.02, 706.58 and 287.96

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Solution

The fourth proportional to 512.02, 706.58 and 287.96 is: 397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 706.58 = 287.96 : x
  2. Step 2: Convert to fraction form
    512.02/706.58 = 287.96/x
  3. Step 3: Cross multiply
    512.02x = 706.58 × 287.96
  4. Step 4: Simplify right side
    512.02x = 203,464.85
  5. Step 5: Solve for x
    x = 203,464.85/512.02
  6. Step 6: Final answer
    x = 397.37

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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.