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Finding the Fourth Proportional to 1,096.09, 1,643.58 and 365.47

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Solution

The fourth proportional to 1,096.09, 1,643.58 and 365.47 is: 548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.09 : 1,643.58 = 365.47 : x
  2. Step 2: Convert to fraction form
    1,096.09/1,643.58 = 365.47/x
  3. Step 3: Cross multiply
    1,096.09x = 1,643.58 × 365.47
  4. Step 4: Simplify right side
    1,096.09x = 600,679.18
  5. Step 5: Solve for x
    x = 600,679.18/1,096.09
  6. Step 6: Final answer
    x = 548.02

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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.