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Finding the Fourth Proportional to 512.24, 705.99 and 372.13

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Solution

The fourth proportional to 512.24, 705.99 and 372.13 is: 512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.24 : 705.99 = 372.13 : x
  2. Step 2: Convert to fraction form
    512.24/705.99 = 372.13/x
  3. Step 3: Cross multiply
    512.24x = 705.99 × 372.13
  4. Step 4: Simplify right side
    512.24x = 262,721.62
  5. Step 5: Solve for x
    x = 262,721.62/512.24
  6. Step 6: Final answer
    x = 512.89

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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.