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Finding the Fourth Proportional to 884.13, 1,324.63 and 536.64

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Solution

The fourth proportional to 884.13, 1,324.63 and 536.64 is: 804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.13 : 1,324.63 = 536.64 : x
  2. Step 2: Convert to fraction form
    884.13/1,324.63 = 536.64/x
  3. Step 3: Cross multiply
    884.13x = 1,324.63 × 536.64
  4. Step 4: Simplify right side
    884.13x = 710,849.44
  5. Step 5: Solve for x
    x = 710,849.44/884.13
  6. Step 6: Final answer
    x = 804.01

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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.