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Finding the Fourth Proportional to 957.39, 1,322.91 and 748.10

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Solution

The fourth proportional to 957.39, 1,322.91 and 748.10 is: 1,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.39 : 1,322.91 = 748.10 : x
  2. Step 2: Convert to fraction form
    957.39/1,322.91 = 748.10/x
  3. Step 3: Cross multiply
    957.39x = 1,322.91 × 748.10
  4. Step 4: Simplify right side
    957.39x = 989,662.36
  5. Step 5: Solve for x
    x = 989,662.36/957.39
  6. Step 6: Final answer
    x = 1,033.71

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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.