Home / 1,478.57-2,217.78-438.58

Finding the Fourth Proportional to 1,478.57, 2,217.78 and 438.58

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Solution

The fourth proportional to 1,478.57, 2,217.78 and 438.58 is: 657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.57 : 2,217.78 = 438.58 : x
  2. Step 2: Convert to fraction form
    1,478.57/2,217.78 = 438.58/x
  3. Step 3: Cross multiply
    1,478.57x = 2,217.78 × 438.58
  4. Step 4: Simplify right side
    1,478.57x = 972,680.59
  5. Step 5: Solve for x
    x = 972,680.59/1,478.57
  6. Step 6: Final answer
    x = 657.85

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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.