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Finding the Fourth Proportional to 1,096.34, 1,643.67 and 446.66

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Solution

The fourth proportional to 1,096.34, 1,643.67 and 446.66 is: 669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.34 : 1,643.67 = 446.66 : x
  2. Step 2: Convert to fraction form
    1,096.34/1,643.67 = 446.66/x
  3. Step 3: Cross multiply
    1,096.34x = 1,643.67 × 446.66
  4. Step 4: Simplify right side
    1,096.34x = 734,161.64
  5. Step 5: Solve for x
    x = 734,161.64/1,096.34
  6. Step 6: Final answer
    x = 669.65

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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.