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Finding the Fourth Proportional to 883.39, 1,325.09 and 306.27

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Solution

The fourth proportional to 883.39, 1,325.09 and 306.27 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.39 : 1,325.09 = 306.27 : x
  2. Step 2: Convert to fraction form
    883.39/1,325.09 = 306.27/x
  3. Step 3: Cross multiply
    883.39x = 1,325.09 × 306.27
  4. Step 4: Simplify right side
    883.39x = 405,827.92
  5. Step 5: Solve for x
    x = 405,827.92/883.39
  6. Step 6: Final answer
    x = 459.40

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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.