Home / 1,216.35-1,824.48-522.68

Finding the Fourth Proportional to 1,216.35, 1,824.48 and 522.68

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Solution

The fourth proportional to 1,216.35, 1,824.48 and 522.68 is: 783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.35 : 1,824.48 = 522.68 : x
  2. Step 2: Convert to fraction form
    1,216.35/1,824.48 = 522.68/x
  3. Step 3: Cross multiply
    1,216.35x = 1,824.48 × 522.68
  4. Step 4: Simplify right side
    1,216.35x = 953,610.08
  5. Step 5: Solve for x
    x = 953,610.08/1,216.35
  6. Step 6: Final answer
    x = 783.99

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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.