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Finding the Fourth Proportional to 615.38, 921.82 and 512.34

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Solution

The fourth proportional to 615.38, 921.82 and 512.34 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.38 : 921.82 = 512.34 : x
  2. Step 2: Convert to fraction form
    615.38/921.82 = 512.34/x
  3. Step 3: Cross multiply
    615.38x = 921.82 × 512.34
  4. Step 4: Simplify right side
    615.38x = 472,285.26
  5. Step 5: Solve for x
    x = 472,285.26/615.38
  6. Step 6: Final answer
    x = 767.47

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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.