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Finding the Fourth Proportional to 957.22, 1,320.36 and 797.29

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Solution

The fourth proportional to 957.22, 1,320.36 and 797.29 is: 1,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.22 : 1,320.36 = 797.29 : x
  2. Step 2: Convert to fraction form
    957.22/1,320.36 = 797.29/x
  3. Step 3: Cross multiply
    957.22x = 1,320.36 × 797.29
  4. Step 4: Simplify right side
    957.22x = 1,052,708.49
  5. Step 5: Solve for x
    x = 1,052,708.49/957.22
  6. Step 6: Final answer
    x = 1,099.75

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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.