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Finding the Fourth Proportional to 884.09, 1,220.40 and 589.25

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Solution

The fourth proportional to 884.09, 1,220.40 and 589.25 is: 813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.09 : 1,220.40 = 589.25 : x
  2. Step 2: Convert to fraction form
    884.09/1,220.40 = 589.25/x
  3. Step 3: Cross multiply
    884.09x = 1,220.40 × 589.25
  4. Step 4: Simplify right side
    884.09x = 719,114.60
  5. Step 5: Solve for x
    x = 719,114.60/884.09
  6. Step 6: Final answer
    x = 813.40

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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.