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Finding the Fourth Proportional to 964.25, 1,446.43 and 306.08

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Solution

The fourth proportional to 964.25, 1,446.43 and 306.08 is: 459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.25 : 1,446.43 = 306.08 : x
  2. Step 2: Convert to fraction form
    964.25/1,446.43 = 306.08/x
  3. Step 3: Cross multiply
    964.25x = 1,446.43 × 306.08
  4. Step 4: Simplify right side
    964.25x = 442,723.76
  5. Step 5: Solve for x
    x = 442,723.76/964.25
  6. Step 6: Final answer
    x = 459.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.