Home / 1,478.06-2,217.07-382.44

Finding the Fourth Proportional to 1,478.06, 2,217.07 and 382.44

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Solution

The fourth proportional to 1,478.06, 2,217.07 and 382.44 is: 573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.06 : 2,217.07 = 382.44 : x
  2. Step 2: Convert to fraction form
    1,478.06/2,217.07 = 382.44/x
  3. Step 3: Cross multiply
    1,478.06x = 2,217.07 × 382.44
  4. Step 4: Simplify right side
    1,478.06x = 847,892.57
  5. Step 5: Solve for x
    x = 847,892.57/1,478.06
  6. Step 6: Final answer
    x = 573.65

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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.