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Finding the Fourth Proportional to 884.73, 1,220.91 and 491.76

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Solution

The fourth proportional to 884.73, 1,220.91 and 491.76 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.73 : 1,220.91 = 491.76 : x
  2. Step 2: Convert to fraction form
    884.73/1,220.91 = 491.76/x
  3. Step 3: Cross multiply
    884.73x = 1,220.91 × 491.76
  4. Step 4: Simplify right side
    884.73x = 600,394.70
  5. Step 5: Solve for x
    x = 600,394.70/884.73
  6. Step 6: Final answer
    x = 678.62

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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.