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Finding the Fourth Proportional to 884.20, 1,325.46 and 445.16

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Solution

The fourth proportional to 884.20, 1,325.46 and 445.16 is: 667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.20 : 1,325.46 = 445.16 : x
  2. Step 2: Convert to fraction form
    884.20/1,325.46 = 445.16/x
  3. Step 3: Cross multiply
    884.20x = 1,325.46 × 445.16
  4. Step 4: Simplify right side
    884.20x = 590,041.77
  5. Step 5: Solve for x
    x = 590,041.77/884.20
  6. Step 6: Final answer
    x = 667.32

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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.