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Finding the Fourth Proportional to 734.59, 1,102.02 and 445.42

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Solution

The fourth proportional to 734.59, 1,102.02 and 445.42 is: 668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.59 : 1,102.02 = 445.42 : x
  2. Step 2: Convert to fraction form
    734.59/1,102.02 = 445.42/x
  3. Step 3: Cross multiply
    734.59x = 1,102.02 × 445.42
  4. Step 4: Simplify right side
    734.59x = 490,861.75
  5. Step 5: Solve for x
    x = 490,861.75/734.59
  6. Step 6: Final answer
    x = 668.21

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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.