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Finding the Fourth Proportional to 1,212.07, 1,817.49 and 563.26

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Solution

The fourth proportional to 1,212.07, 1,817.49 and 563.26 is: 844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.07 : 1,817.49 = 563.26 : x
  2. Step 2: Convert to fraction form
    1,212.07/1,817.49 = 563.26/x
  3. Step 3: Cross multiply
    1,212.07x = 1,817.49 × 563.26
  4. Step 4: Simplify right side
    1,212.07x = 1,023,719.42
  5. Step 5: Solve for x
    x = 1,023,719.42/1,212.07
  6. Step 6: Final answer
    x = 844.60

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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.