Home / 1,217.20-1,824.90-523.30

Finding the Fourth Proportional to 1,217.20, 1,824.90 and 523.30

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Solution

The fourth proportional to 1,217.20, 1,824.90 and 523.30 is: 784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.20 : 1,824.90 = 523.30 : x
  2. Step 2: Convert to fraction form
    1,217.20/1,824.90 = 523.30/x
  3. Step 3: Cross multiply
    1,217.20x = 1,824.90 × 523.30
  4. Step 4: Simplify right side
    1,217.20x = 954,970.17
  5. Step 5: Solve for x
    x = 954,970.17/1,217.20
  6. Step 6: Final answer
    x = 784.56

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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.