Home / 1,216.28-1,824.68-436.32

Finding the Fourth Proportional to 1,216.28, 1,824.68 and 436.32

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Solution

The fourth proportional to 1,216.28, 1,824.68 and 436.32 is: 654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.28 : 1,824.68 = 436.32 : x
  2. Step 2: Convert to fraction form
    1,216.28/1,824.68 = 436.32/x
  3. Step 3: Cross multiply
    1,216.28x = 1,824.68 × 436.32
  4. Step 4: Simplify right side
    1,216.28x = 796,144.38
  5. Step 5: Solve for x
    x = 796,144.38/1,216.28
  6. Step 6: Final answer
    x = 654.57

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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.