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Finding the Fourth Proportional to 884.27, 1,220.64 and 589.43

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Solution

The fourth proportional to 884.27, 1,220.64 and 589.43 is: 813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.27 : 1,220.64 = 589.43 : x
  2. Step 2: Convert to fraction form
    884.27/1,220.64 = 589.43/x
  3. Step 3: Cross multiply
    884.27x = 1,220.64 × 589.43
  4. Step 4: Simplify right side
    884.27x = 719,482.68
  5. Step 5: Solve for x
    x = 719,482.68/884.27
  6. Step 6: Final answer
    x = 813.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.