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Finding the Fourth Proportional to 512.44, 763.73 and 511.63

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Solution

The fourth proportional to 512.44, 763.73 and 511.63 is: 762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 763.73 = 511.63 : x
  2. Step 2: Convert to fraction form
    512.44/763.73 = 511.63/x
  3. Step 3: Cross multiply
    512.44x = 763.73 × 511.63
  4. Step 4: Simplify right side
    512.44x = 390,747.18
  5. Step 5: Solve for x
    x = 390,747.18/512.44
  6. Step 6: Final answer
    x = 762.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.