Home / 1,213.24-1,819.12-483.16

Finding the Fourth Proportional to 1,213.24, 1,819.12 and 483.16

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Solution

The fourth proportional to 1,213.24, 1,819.12 and 483.16 is: 724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.24 : 1,819.12 = 483.16 : x
  2. Step 2: Convert to fraction form
    1,213.24/1,819.12 = 483.16/x
  3. Step 3: Cross multiply
    1,213.24x = 1,819.12 × 483.16
  4. Step 4: Simplify right side
    1,213.24x = 878,926.02
  5. Step 5: Solve for x
    x = 878,926.02/1,213.24
  6. Step 6: Final answer
    x = 724.45

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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.