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Finding the Fourth Proportional to 885.09, 1,327.43 and 364.58

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Solution

The fourth proportional to 885.09, 1,327.43 and 364.58 is: 546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.09 : 1,327.43 = 364.58 : x
  2. Step 2: Convert to fraction form
    885.09/1,327.43 = 364.58/x
  3. Step 3: Cross multiply
    885.09x = 1,327.43 × 364.58
  4. Step 4: Simplify right side
    885.09x = 483,953.68
  5. Step 5: Solve for x
    x = 483,953.68/885.09
  6. Step 6: Final answer
    x = 546.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.