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Finding the Fourth Proportional to 885.19, 1,328.29 and 365.09

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Solution

The fourth proportional to 885.19, 1,328.29 and 365.09 is: 547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.19 : 1,328.29 = 365.09 : x
  2. Step 2: Convert to fraction form
    885.19/1,328.29 = 365.09/x
  3. Step 3: Cross multiply
    885.19x = 1,328.29 × 365.09
  4. Step 4: Simplify right side
    885.19x = 484,946.68
  5. Step 5: Solve for x
    x = 484,946.68/885.19
  6. Step 6: Final answer
    x = 547.85

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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.