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Finding the Fourth Proportional to 512.20, 706.62 and 372.40

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Solution

The fourth proportional to 512.20, 706.62 and 372.40 is: 513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 706.62 = 372.40 : x
  2. Step 2: Convert to fraction form
    512.20/706.62 = 372.40/x
  3. Step 3: Cross multiply
    512.20x = 706.62 × 372.40
  4. Step 4: Simplify right side
    512.20x = 263,145.29
  5. Step 5: Solve for x
    x = 263,145.29/512.20
  6. Step 6: Final answer
    x = 513.75

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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.