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Finding the Fourth Proportional to 884.54, 1,220.52 and 511.55

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Solution

The fourth proportional to 884.54, 1,220.52 and 511.55 is: 705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.54 : 1,220.52 = 511.55 : x
  2. Step 2: Convert to fraction form
    884.54/1,220.52 = 511.55/x
  3. Step 3: Cross multiply
    884.54x = 1,220.52 × 511.55
  4. Step 4: Simplify right side
    884.54x = 624,357.01
  5. Step 5: Solve for x
    x = 624,357.01/884.54
  6. Step 6: Final answer
    x = 705.86

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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.