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Finding the Fourth Proportional to 890.75, 1,342.21 and 731.99

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Solution

The fourth proportional to 890.75, 1,342.21 and 731.99 is: 1,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.75 : 1,342.21 = 731.99 : x
  2. Step 2: Convert to fraction form
    890.75/1,342.21 = 731.99/x
  3. Step 3: Cross multiply
    890.75x = 1,342.21 × 731.99
  4. Step 4: Simplify right side
    890.75x = 982,487.20
  5. Step 5: Solve for x
    x = 982,487.20/890.75
  6. Step 6: Final answer
    x = 1,102.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.