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Finding the Fourth Proportional to 885.13, 1,221.34 and 506.96

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Solution

The fourth proportional to 885.13, 1,221.34 and 506.96 is: 699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.13 : 1,221.34 = 506.96 : x
  2. Step 2: Convert to fraction form
    885.13/1,221.34 = 506.96/x
  3. Step 3: Cross multiply
    885.13x = 1,221.34 × 506.96
  4. Step 4: Simplify right side
    885.13x = 619,172.54
  5. Step 5: Solve for x
    x = 619,172.54/885.13
  6. Step 6: Final answer
    x = 699.53

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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.