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Finding the Fourth Proportional to 1,096.64, 1,512.34 and 817.56

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Solution

The fourth proportional to 1,096.64, 1,512.34 and 817.56 is: 1,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.64 : 1,512.34 = 817.56 : x
  2. Step 2: Convert to fraction form
    1,096.64/1,512.34 = 817.56/x
  3. Step 3: Cross multiply
    1,096.64x = 1,512.34 × 817.56
  4. Step 4: Simplify right side
    1,096.64x = 1,236,428.69
  5. Step 5: Solve for x
    x = 1,236,428.69/1,096.64
  6. Step 6: Final answer
    x = 1,127.47

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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.