Home / 1,478.21-2,217.44-382.56

Finding the Fourth Proportional to 1,478.21, 2,217.44 and 382.56

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Solution

The fourth proportional to 1,478.21, 2,217.44 and 382.56 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.21 : 2,217.44 = 382.56 : x
  2. Step 2: Convert to fraction form
    1,478.21/2,217.44 = 382.56/x
  3. Step 3: Cross multiply
    1,478.21x = 2,217.44 × 382.56
  4. Step 4: Simplify right side
    1,478.21x = 848,303.85
  5. Step 5: Solve for x
    x = 848,303.85/1,478.21
  6. Step 6: Final answer
    x = 573.87

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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.