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Finding the Fourth Proportional to 964.21, 1,446.15 and 444.19

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Solution

The fourth proportional to 964.21, 1,446.15 and 444.19 is: 666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.21 : 1,446.15 = 444.19 : x
  2. Step 2: Convert to fraction form
    964.21/1,446.15 = 444.19/x
  3. Step 3: Cross multiply
    964.21x = 1,446.15 × 444.19
  4. Step 4: Simplify right side
    964.21x = 642,361.75
  5. Step 5: Solve for x
    x = 642,361.75/964.21
  6. Step 6: Final answer
    x = 666.21

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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.