Home / 1,213.36-1,819.82-564.14

Finding the Fourth Proportional to 1,213.36, 1,819.82 and 564.14

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Solution

The fourth proportional to 1,213.36, 1,819.82 and 564.14 is: 846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.36 : 1,819.82 = 564.14 : x
  2. Step 2: Convert to fraction form
    1,213.36/1,819.82 = 564.14/x
  3. Step 3: Cross multiply
    1,213.36x = 1,819.82 × 564.14
  4. Step 4: Simplify right side
    1,213.36x = 1,026,633.25
  5. Step 5: Solve for x
    x = 1,026,633.25/1,213.36
  6. Step 6: Final answer
    x = 846.11

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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.