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Finding the Fourth Proportional to 512.12, 706.50 and 335.27

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Solution

The fourth proportional to 512.12, 706.50 and 335.27 is: 462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.12 : 706.50 = 335.27 : x
  2. Step 2: Convert to fraction form
    512.12/706.50 = 335.27/x
  3. Step 3: Cross multiply
    512.12x = 706.50 × 335.27
  4. Step 4: Simplify right side
    512.12x = 236,870.02
  5. Step 5: Solve for x
    x = 236,870.02/512.12
  6. Step 6: Final answer
    x = 462.53

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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.