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Finding the Fourth Proportional to 809.41, 1,213.01 and 370.12

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Solution

The fourth proportional to 809.41, 1,213.01 and 370.12 is: 554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.41 : 1,213.01 = 370.12 : x
  2. Step 2: Convert to fraction form
    809.41/1,213.01 = 370.12/x
  3. Step 3: Cross multiply
    809.41x = 1,213.01 × 370.12
  4. Step 4: Simplify right side
    809.41x = 448,957.15
  5. Step 5: Solve for x
    x = 448,957.15/809.41
  6. Step 6: Final answer
    x = 554.67

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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.