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Finding the Fourth Proportional to 512.48, 706.98 and 335.44

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Solution

The fourth proportional to 512.48, 706.98 and 335.44 is: 462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 706.98 = 335.44 : x
  2. Step 2: Convert to fraction form
    512.48/706.98 = 335.44/x
  3. Step 3: Cross multiply
    512.48x = 706.98 × 335.44
  4. Step 4: Simplify right side
    512.48x = 237,149.63
  5. Step 5: Solve for x
    x = 237,149.63/512.48
  6. Step 6: Final answer
    x = 462.75

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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.