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Finding the Fourth Proportional to 957.54, 1,444.26 and 843.41

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Solution

The fourth proportional to 957.54, 1,444.26 and 843.41 is: 1,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.54 : 1,444.26 = 843.41 : x
  2. Step 2: Convert to fraction form
    957.54/1,444.26 = 843.41/x
  3. Step 3: Cross multiply
    957.54x = 1,444.26 × 843.41
  4. Step 4: Simplify right side
    957.54x = 1,218,110.10
  5. Step 5: Solve for x
    x = 1,218,110.10/957.54
  6. Step 6: Final answer
    x = 1,272.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.