Home / 1,467.16-2,200.78-427.28

Finding the Fourth Proportional to 1,467.16, 2,200.78 and 427.28

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Solution

The fourth proportional to 1,467.16, 2,200.78 and 427.28 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.16 : 2,200.78 = 427.28 : x
  2. Step 2: Convert to fraction form
    1,467.16/2,200.78 = 427.28/x
  3. Step 3: Cross multiply
    1,467.16x = 2,200.78 × 427.28
  4. Step 4: Simplify right side
    1,467.16x = 940,338.81
  5. Step 5: Solve for x
    x = 940,338.81/1,467.16
  6. Step 6: Final answer
    x = 640.93

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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.