Home / 1,217.36-1,824.49-523.20

Finding the Fourth Proportional to 1,217.36, 1,824.49 and 523.20

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Solution

The fourth proportional to 1,217.36, 1,824.49 and 523.20 is: 784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.36 : 1,824.49 = 523.20 : x
  2. Step 2: Convert to fraction form
    1,217.36/1,824.49 = 523.20/x
  3. Step 3: Cross multiply
    1,217.36x = 1,824.49 × 523.20
  4. Step 4: Simplify right side
    1,217.36x = 954,573.17
  5. Step 5: Solve for x
    x = 954,573.17/1,217.36
  6. Step 6: Final answer
    x = 784.13

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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.