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Finding the Fourth Proportional to 648.20, 894.31 and 368.42

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Solution

The fourth proportional to 648.20, 894.31 and 368.42 is: 508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 894.31 = 368.42 : x
  2. Step 2: Convert to fraction form
    648.20/894.31 = 368.42/x
  3. Step 3: Cross multiply
    648.20x = 894.31 × 368.42
  4. Step 4: Simplify right side
    648.20x = 329,476.30
  5. Step 5: Solve for x
    x = 329,476.30/648.20
  6. Step 6: Final answer
    x = 508.29

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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.