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Finding the Fourth Proportional to 964.82, 1,439.66 and 906.05

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Solution

The fourth proportional to 964.82, 1,439.66 and 906.05 is: 1,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.82 : 1,439.66 = 906.05 : x
  2. Step 2: Convert to fraction form
    964.82/1,439.66 = 906.05/x
  3. Step 3: Cross multiply
    964.82x = 1,439.66 × 906.05
  4. Step 4: Simplify right side
    964.82x = 1,304,403.94
  5. Step 5: Solve for x
    x = 1,304,403.94/964.82
  6. Step 6: Final answer
    x = 1,351.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.