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Finding the Fourth Proportional to 885.26, 1,327.40 and 365.12

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Solution

The fourth proportional to 885.26, 1,327.40 and 365.12 is: 547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.26 : 1,327.40 = 365.12 : x
  2. Step 2: Convert to fraction form
    885.26/1,327.40 = 365.12/x
  3. Step 3: Cross multiply
    885.26x = 1,327.40 × 365.12
  4. Step 4: Simplify right side
    885.26x = 484,660.29
  5. Step 5: Solve for x
    x = 484,660.29/885.26
  6. Step 6: Final answer
    x = 547.48

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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.