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Finding the Fourth Proportional to 957.75, 1,321.74 and 696.21

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Solution

The fourth proportional to 957.75, 1,321.74 and 696.21 is: 960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.75 : 1,321.74 = 696.21 : x
  2. Step 2: Convert to fraction form
    957.75/1,321.74 = 696.21/x
  3. Step 3: Cross multiply
    957.75x = 1,321.74 × 696.21
  4. Step 4: Simplify right side
    957.75x = 920,208.61
  5. Step 5: Solve for x
    x = 920,208.61/957.75
  6. Step 6: Final answer
    x = 960.80

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1.5x scale

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.