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Finding the Fourth Proportional to 884.87, 1,221.04 and 511.59

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Solution

The fourth proportional to 884.87, 1,221.04 and 511.59 is: 705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.87 : 1,221.04 = 511.59 : x
  2. Step 2: Convert to fraction form
    884.87/1,221.04 = 511.59/x
  3. Step 3: Cross multiply
    884.87x = 1,221.04 × 511.59
  4. Step 4: Simplify right side
    884.87x = 624,677.07
  5. Step 5: Solve for x
    x = 624,677.07/884.87
  6. Step 6: Final answer
    x = 705.95

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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.