Home / 1,467.14-2,200.82-427.16

Finding the Fourth Proportional to 1,467.14, 2,200.82 and 427.16

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Solution

The fourth proportional to 1,467.14, 2,200.82 and 427.16 is: 640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.14 : 2,200.82 = 427.16 : x
  2. Step 2: Convert to fraction form
    1,467.14/2,200.82 = 427.16/x
  3. Step 3: Cross multiply
    1,467.14x = 2,200.82 × 427.16
  4. Step 4: Simplify right side
    1,467.14x = 940,089.13
  5. Step 5: Solve for x
    x = 940,089.13/1,467.14
  6. Step 6: Final answer
    x = 640.77

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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.