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Finding the Fourth Proportional to 697.73, 1,046.56 and 281.44

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Solution

The fourth proportional to 697.73, 1,046.56 and 281.44 is: 422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.73 : 1,046.56 = 281.44 : x
  2. Step 2: Convert to fraction form
    697.73/1,046.56 = 281.44/x
  3. Step 3: Cross multiply
    697.73x = 1,046.56 × 281.44
  4. Step 4: Simplify right side
    697.73x = 294,539.32
  5. Step 5: Solve for x
    x = 294,539.32/697.73
  6. Step 6: Final answer
    x = 422.14

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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.