Home / 1,478.39-2,217.31-382.68

Finding the Fourth Proportional to 1,478.39, 2,217.31 and 382.68

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Solution

The fourth proportional to 1,478.39, 2,217.31 and 382.68 is: 573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.39 : 2,217.31 = 382.68 : x
  2. Step 2: Convert to fraction form
    1,478.39/2,217.31 = 382.68/x
  3. Step 3: Cross multiply
    1,478.39x = 2,217.31 × 382.68
  4. Step 4: Simplify right side
    1,478.39x = 848,519.23
  5. Step 5: Solve for x
    x = 848,519.23/1,478.39
  6. Step 6: Final answer
    x = 573.95

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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.