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Finding the Fourth Proportional to 964.92, 1,331.25 and 633.54

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Solution

The fourth proportional to 964.92, 1,331.25 and 633.54 is: 874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.92 : 1,331.25 = 633.54 : x
  2. Step 2: Convert to fraction form
    964.92/1,331.25 = 633.54/x
  3. Step 3: Cross multiply
    964.92x = 1,331.25 × 633.54
  4. Step 4: Simplify right side
    964.92x = 843,400.13
  5. Step 5: Solve for x
    x = 843,400.13/964.92
  6. Step 6: Final answer
    x = 874.06

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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.