Home / 1,213.76-1,819.96-564.01

Finding the Fourth Proportional to 1,213.76, 1,819.96 and 564.01

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Solution

The fourth proportional to 1,213.76, 1,819.96 and 564.01 is: 845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.76 : 1,819.96 = 564.01 : x
  2. Step 2: Convert to fraction form
    1,213.76/1,819.96 = 564.01/x
  3. Step 3: Cross multiply
    1,213.76x = 1,819.96 × 564.01
  4. Step 4: Simplify right side
    1,213.76x = 1,026,475.64
  5. Step 5: Solve for x
    x = 1,026,475.64/1,213.76
  6. Step 6: Final answer
    x = 845.70

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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.