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Finding the Fourth Proportional to 1,487.31, 2,232.74 and 697.42

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Solution

The fourth proportional to 1,487.31, 2,232.74 and 697.42 is: 1,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.31 : 2,232.74 = 697.42 : x
  2. Step 2: Convert to fraction form
    1,487.31/2,232.74 = 697.42/x
  3. Step 3: Cross multiply
    1,487.31x = 2,232.74 × 697.42
  4. Step 4: Simplify right side
    1,487.31x = 1,557,157.53
  5. Step 5: Solve for x
    x = 1,557,157.53/1,487.31
  6. Step 6: Final answer
    x = 1,046.96

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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.