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Finding the Fourth Proportional to 922.25, 1,383.54 and 305.99

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Solution

The fourth proportional to 922.25, 1,383.54 and 305.99 is: 459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.25 : 1,383.54 = 305.99 : x
  2. Step 2: Convert to fraction form
    922.25/1,383.54 = 305.99/x
  3. Step 3: Cross multiply
    922.25x = 1,383.54 × 305.99
  4. Step 4: Simplify right side
    922.25x = 423,349.40
  5. Step 5: Solve for x
    x = 423,349.40/922.25
  6. Step 6: Final answer
    x = 459.04

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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.