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Finding the Fourth Proportional to 957.25, 1,436.12 and 273.25

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Solution

The fourth proportional to 957.25, 1,436.12 and 273.25 is: 409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.25 : 1,436.12 = 273.25 : x
  2. Step 2: Convert to fraction form
    957.25/1,436.12 = 273.25/x
  3. Step 3: Cross multiply
    957.25x = 1,436.12 × 273.25
  4. Step 4: Simplify right side
    957.25x = 392,418.42
  5. Step 5: Solve for x
    x = 392,418.42/957.25
  6. Step 6: Final answer
    x = 409.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.