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Finding the Fourth Proportional to 885.51, 1,327.75 and 365.86

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Solution

The fourth proportional to 885.51, 1,327.75 and 365.86 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.51 : 1,327.75 = 365.86 : x
  2. Step 2: Convert to fraction form
    885.51/1,327.75 = 365.86/x
  3. Step 3: Cross multiply
    885.51x = 1,327.75 × 365.86
  4. Step 4: Simplify right side
    885.51x = 485,770.62
  5. Step 5: Solve for x
    x = 485,770.62/885.51
  6. Step 6: Final answer
    x = 548.58

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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.