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Finding the Fourth Proportional to 964.80, 1,331.79 and 650.96

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Solution

The fourth proportional to 964.80, 1,331.79 and 650.96 is: 898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.80 : 1,331.79 = 650.96 : x
  2. Step 2: Convert to fraction form
    964.80/1,331.79 = 650.96/x
  3. Step 3: Cross multiply
    964.80x = 1,331.79 × 650.96
  4. Step 4: Simplify right side
    964.80x = 866,935.36
  5. Step 5: Solve for x
    x = 866,935.36/964.80
  6. Step 6: Final answer
    x = 898.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.