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Finding the Fourth Proportional to 627.48, 936.23 and 557.82

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Solution

The fourth proportional to 627.48, 936.23 and 557.82 is: 832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.48 : 936.23 = 557.82 : x
  2. Step 2: Convert to fraction form
    627.48/936.23 = 557.82/x
  3. Step 3: Cross multiply
    627.48x = 936.23 × 557.82
  4. Step 4: Simplify right side
    627.48x = 522,245.03
  5. Step 5: Solve for x
    x = 522,245.03/627.48
  6. Step 6: Final answer
    x = 832.29

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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.