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Finding the Fourth Proportional to 1,216.58, 1,824.26 and 394.33

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Solution

The fourth proportional to 1,216.58, 1,824.26 and 394.33 is: 591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.58 : 1,824.26 = 394.33 : x
  2. Step 2: Convert to fraction form
    1,216.58/1,824.26 = 394.33/x
  3. Step 3: Cross multiply
    1,216.58x = 1,824.26 × 394.33
  4. Step 4: Simplify right side
    1,216.58x = 719,360.45
  5. Step 5: Solve for x
    x = 719,360.45/1,216.58
  6. Step 6: Final answer
    x = 591.30

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1.5x scale

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.