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Finding the Fourth Proportional to 512.30, 768.45 and 448.30

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Solution

The fourth proportional to 512.30, 768.45 and 448.30 is: 672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 768.45 = 448.30 : x
  2. Step 2: Convert to fraction form
    512.30/768.45 = 448.30/x
  3. Step 3: Cross multiply
    512.30x = 768.45 × 448.30
  4. Step 4: Simplify right side
    512.30x = 344,496.14
  5. Step 5: Solve for x
    x = 344,496.14/512.30
  6. Step 6: Final answer
    x = 672.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.