Home / 1,401.64-2,102.46-427.75

Finding the Fourth Proportional to 1,401.64, 2,102.46 and 427.75

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Solution

The fourth proportional to 1,401.64, 2,102.46 and 427.75 is: 641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.64 : 2,102.46 = 427.75 : x
  2. Step 2: Convert to fraction form
    1,401.64/2,102.46 = 427.75/x
  3. Step 3: Cross multiply
    1,401.64x = 2,102.46 × 427.75
  4. Step 4: Simplify right side
    1,401.64x = 899,314.61
  5. Step 5: Solve for x
    x = 899,314.61/1,401.64
  6. Step 6: Final answer
    x = 641.62

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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.