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Finding the Fourth Proportional to 885.49, 1,327.08 and 364.90

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Solution

The fourth proportional to 885.49, 1,327.08 and 364.90 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.49 : 1,327.08 = 364.90 : x
  2. Step 2: Convert to fraction form
    885.49/1,327.08 = 364.90/x
  3. Step 3: Cross multiply
    885.49x = 1,327.08 × 364.90
  4. Step 4: Simplify right side
    885.49x = 484,251.49
  5. Step 5: Solve for x
    x = 484,251.49/885.49
  6. Step 6: Final answer
    x = 546.87

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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.