Home / 1,213.20-1,819.53-588.48

Finding the Fourth Proportional to 1,213.20, 1,819.53 and 588.48

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Solution

The fourth proportional to 1,213.20, 1,819.53 and 588.48 is: 882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.20 : 1,819.53 = 588.48 : x
  2. Step 2: Convert to fraction form
    1,213.20/1,819.53 = 588.48/x
  3. Step 3: Cross multiply
    1,213.20x = 1,819.53 × 588.48
  4. Step 4: Simplify right side
    1,213.20x = 1,070,750.19
  5. Step 5: Solve for x
    x = 1,070,750.19/1,213.20
  6. Step 6: Final answer
    x = 882.58

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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.