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Finding the Fourth Proportional to 884.55, 1,220.83 and 661.60

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Solution

The fourth proportional to 884.55, 1,220.83 and 661.60 is: 913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.55 : 1,220.83 = 661.60 : x
  2. Step 2: Convert to fraction form
    884.55/1,220.83 = 661.60/x
  3. Step 3: Cross multiply
    884.55x = 1,220.83 × 661.60
  4. Step 4: Simplify right side
    884.55x = 807,691.72
  5. Step 5: Solve for x
    x = 807,691.72/884.55
  6. Step 6: Final answer
    x = 913.12

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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.