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Finding the Fourth Proportional to 957.84, 1,322 and 762.88

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Solution

The fourth proportional to 957.84, 1,322 and 762.88 is: 1,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.84 : 1,322 = 762.88 : x
  2. Step 2: Convert to fraction form
    957.84/1,322 = 762.88/x
  3. Step 3: Cross multiply
    957.84x = 1,322 × 762.88
  4. Step 4: Simplify right side
    957.84x = 1,008,527.36
  5. Step 5: Solve for x
    x = 1,008,527.36/957.84
  6. Step 6: Final answer
    x = 1,052.92

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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.