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Finding the Fourth Proportional to 885.86, 1,322.31 and 821.61

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Solution

The fourth proportional to 885.86, 1,322.31 and 821.61 is: 1,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.86 : 1,322.31 = 821.61 : x
  2. Step 2: Convert to fraction form
    885.86/1,322.31 = 821.61/x
  3. Step 3: Cross multiply
    885.86x = 1,322.31 × 821.61
  4. Step 4: Simplify right side
    885.86x = 1,086,419.01
  5. Step 5: Solve for x
    x = 1,086,419.01/885.86
  6. Step 6: Final answer
    x = 1,226.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.