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Finding the Fourth Proportional to 804.89, 1,207.38 and 227.75

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Solution

The fourth proportional to 804.89, 1,207.38 and 227.75 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.89 : 1,207.38 = 227.75 : x
  2. Step 2: Convert to fraction form
    804.89/1,207.38 = 227.75/x
  3. Step 3: Cross multiply
    804.89x = 1,207.38 × 227.75
  4. Step 4: Simplify right side
    804.89x = 274,980.80
  5. Step 5: Solve for x
    x = 274,980.80/804.89
  6. Step 6: Final answer
    x = 341.64

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Double scale
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1.5x scale

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.