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Finding the Fourth Proportional to 884.13, 1,325.34 and 364.50

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Solution

The fourth proportional to 884.13, 1,325.34 and 364.50 is: 546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.13 : 1,325.34 = 364.50 : x
  2. Step 2: Convert to fraction form
    884.13/1,325.34 = 364.50/x
  3. Step 3: Cross multiply
    884.13x = 1,325.34 × 364.50
  4. Step 4: Simplify right side
    884.13x = 483,086.43
  5. Step 5: Solve for x
    x = 483,086.43/884.13
  6. Step 6: Final answer
    x = 546.40

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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.