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Finding the Fourth Proportional to 1,096.44, 1,643.28 and 608.80

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Solution

The fourth proportional to 1,096.44, 1,643.28 and 608.80 is: 912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.44 : 1,643.28 = 608.80 : x
  2. Step 2: Convert to fraction form
    1,096.44/1,643.28 = 608.80/x
  3. Step 3: Cross multiply
    1,096.44x = 1,643.28 × 608.80
  4. Step 4: Simplify right side
    1,096.44x = 1,000,428.86
  5. Step 5: Solve for x
    x = 1,000,428.86/1,096.44
  6. Step 6: Final answer
    x = 912.43

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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.