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Finding the Fourth Proportional to 885.14, 1,220.82 and 785.66

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Solution

The fourth proportional to 885.14, 1,220.82 and 785.66 is: 1,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.14 : 1,220.82 = 785.66 : x
  2. Step 2: Convert to fraction form
    885.14/1,220.82 = 785.66/x
  3. Step 3: Cross multiply
    885.14x = 1,220.82 × 785.66
  4. Step 4: Simplify right side
    885.14x = 959,149.44
  5. Step 5: Solve for x
    x = 959,149.44/885.14
  6. Step 6: Final answer
    x = 1,083.61

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1.5x scale

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.