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Finding the Fourth Proportional to 957.23, 1,321.80 and 926.27

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Solution

The fourth proportional to 957.23, 1,321.80 and 926.27 is: 1,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.23 : 1,321.80 = 926.27 : x
  2. Step 2: Convert to fraction form
    957.23/1,321.80 = 926.27/x
  3. Step 3: Cross multiply
    957.23x = 1,321.80 × 926.27
  4. Step 4: Simplify right side
    957.23x = 1,224,343.69
  5. Step 5: Solve for x
    x = 1,224,343.69/957.23
  6. Step 6: Final answer
    x = 1,279.05

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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.