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Finding the Fourth Proportional to 884.25, 1,325.12 and 421.65

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Solution

The fourth proportional to 884.25, 1,325.12 and 421.65 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.25 : 1,325.12 = 421.65 : x
  2. Step 2: Convert to fraction form
    884.25/1,325.12 = 421.65/x
  3. Step 3: Cross multiply
    884.25x = 1,325.12 × 421.65
  4. Step 4: Simplify right side
    884.25x = 558,734.74
  5. Step 5: Solve for x
    x = 558,734.74/884.25
  6. Step 6: Final answer
    x = 631.87

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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.