Home / 1,478.45-2,217.49-438.56

Finding the Fourth Proportional to 1,478.45, 2,217.49 and 438.56

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Solution

The fourth proportional to 1,478.45, 2,217.49 and 438.56 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.45 : 2,217.49 = 438.56 : x
  2. Step 2: Convert to fraction form
    1,478.45/2,217.49 = 438.56/x
  3. Step 3: Cross multiply
    1,478.45x = 2,217.49 × 438.56
  4. Step 4: Simplify right side
    1,478.45x = 972,498.55
  5. Step 5: Solve for x
    x = 972,498.55/1,478.45
  6. Step 6: Final answer
    x = 657.78

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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.