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Finding the Fourth Proportional to 884.98, 1,221.35 and 492.13

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Solution

The fourth proportional to 884.98, 1,221.35 and 492.13 is: 679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.98 : 1,221.35 = 492.13 : x
  2. Step 2: Convert to fraction form
    884.98/1,221.35 = 492.13/x
  3. Step 3: Cross multiply
    884.98x = 1,221.35 × 492.13
  4. Step 4: Simplify right side
    884.98x = 601,062.98
  5. Step 5: Solve for x
    x = 601,062.98/884.98
  6. Step 6: Final answer
    x = 679.18

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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.