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Finding the Fourth Proportional to 964.87, 1,331.96 and 633.41

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Solution

The fourth proportional to 964.87, 1,331.96 and 633.41 is: 874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.87 : 1,331.96 = 633.41 : x
  2. Step 2: Convert to fraction form
    964.87/1,331.96 = 633.41/x
  3. Step 3: Cross multiply
    964.87x = 1,331.96 × 633.41
  4. Step 4: Simplify right side
    964.87x = 843,676.78
  5. Step 5: Solve for x
    x = 843,676.78/964.87
  6. Step 6: Final answer
    x = 874.39

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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.