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Finding the Fourth Proportional to 957.81, 1,321.75 and 538.27

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Solution

The fourth proportional to 957.81, 1,321.75 and 538.27 is: 742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.81 : 1,321.75 = 538.27 : x
  2. Step 2: Convert to fraction form
    957.81/1,321.75 = 538.27/x
  3. Step 3: Cross multiply
    957.81x = 1,321.75 × 538.27
  4. Step 4: Simplify right side
    957.81x = 711,453.72
  5. Step 5: Solve for x
    x = 711,453.72/957.81
  6. Step 6: Final answer
    x = 742.79

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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.