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Finding the Fourth Proportional to 1,213.62, 1,818.57 and 563.60

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Solution

The fourth proportional to 1,213.62, 1,818.57 and 563.60 is: 844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.62 : 1,818.57 = 563.60 : x
  2. Step 2: Convert to fraction form
    1,213.62/1,818.57 = 563.60/x
  3. Step 3: Cross multiply
    1,213.62x = 1,818.57 × 563.60
  4. Step 4: Simplify right side
    1,213.62x = 1,024,946.05
  5. Step 5: Solve for x
    x = 1,024,946.05/1,213.62
  6. Step 6: Final answer
    x = 844.54

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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.