Home / 1,401.40-2,102.64-427.78

Finding the Fourth Proportional to 1,401.40, 2,102.64 and 427.78

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Solution

The fourth proportional to 1,401.40, 2,102.64 and 427.78 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.40 : 2,102.64 = 427.78 : x
  2. Step 2: Convert to fraction form
    1,401.40/2,102.64 = 427.78/x
  3. Step 3: Cross multiply
    1,401.40x = 2,102.64 × 427.78
  4. Step 4: Simplify right side
    1,401.40x = 899,467.34
  5. Step 5: Solve for x
    x = 899,467.34/1,401.40
  6. Step 6: Final answer
    x = 641.83

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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.