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Finding the Fourth Proportional to 884.89, 1,220.96 and 491.90

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Solution

The fourth proportional to 884.89, 1,220.96 and 491.90 is: 678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.89 : 1,220.96 = 491.90 : x
  2. Step 2: Convert to fraction form
    884.89/1,220.96 = 491.90/x
  3. Step 3: Cross multiply
    884.89x = 1,220.96 × 491.90
  4. Step 4: Simplify right side
    884.89x = 600,587.76
  5. Step 5: Solve for x
    x = 600,587.76/884.89
  6. Step 6: Final answer
    x = 678.72

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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.