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Finding the Fourth Proportional to 809.02, 1,213.36 and 289.05

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Solution

The fourth proportional to 809.02, 1,213.36 and 289.05 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.02 : 1,213.36 = 289.05 : x
  2. Step 2: Convert to fraction form
    809.02/1,213.36 = 289.05/x
  3. Step 3: Cross multiply
    809.02x = 1,213.36 × 289.05
  4. Step 4: Simplify right side
    809.02x = 350,722.72
  5. Step 5: Solve for x
    x = 350,722.72/809.02
  6. Step 6: Final answer
    x = 433.52

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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.