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Finding the Fourth Proportional to 1,213.72, 1,820.26 and 564.28

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Solution

The fourth proportional to 1,213.72, 1,820.26 and 564.28 is: 846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.72 : 1,820.26 = 564.28 : x
  2. Step 2: Convert to fraction form
    1,213.72/1,820.26 = 564.28/x
  3. Step 3: Cross multiply
    1,213.72x = 1,820.26 × 564.28
  4. Step 4: Simplify right side
    1,213.72x = 1,027,136.31
  5. Step 5: Solve for x
    x = 1,027,136.31/1,213.72
  6. Step 6: Final answer
    x = 846.27

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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.