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Finding the Fourth Proportional to 944.08, 1,416.11 and 285.95

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Solution

The fourth proportional to 944.08, 1,416.11 and 285.95 is: 428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.08 : 1,416.11 = 285.95 : x
  2. Step 2: Convert to fraction form
    944.08/1,416.11 = 285.95/x
  3. Step 3: Cross multiply
    944.08x = 1,416.11 × 285.95
  4. Step 4: Simplify right side
    944.08x = 404,940.91
  5. Step 5: Solve for x
    x = 404,940.91/944.08
  6. Step 6: Final answer
    x = 428.93

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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.