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Finding the Fourth Proportional to 964.19, 1,331.56 and 727.75

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Solution

The fourth proportional to 964.19, 1,331.56 and 727.75 is: 1,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.19 : 1,331.56 = 727.75 : x
  2. Step 2: Convert to fraction form
    964.19/1,331.56 = 727.75/x
  3. Step 3: Cross multiply
    964.19x = 1,331.56 × 727.75
  4. Step 4: Simplify right side
    964.19x = 969,041.79
  5. Step 5: Solve for x
    x = 969,041.79/964.19
  6. Step 6: Final answer
    x = 1,005.03

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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.