Home / 1,137.20-1,705.81-406.27

Finding the Fourth Proportional to 1,137.20, 1,705.81 and 406.27

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Solution

The fourth proportional to 1,137.20, 1,705.81 and 406.27 is: 609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.20 : 1,705.81 = 406.27 : x
  2. Step 2: Convert to fraction form
    1,137.20/1,705.81 = 406.27/x
  3. Step 3: Cross multiply
    1,137.20x = 1,705.81 × 406.27
  4. Step 4: Simplify right side
    1,137.20x = 693,010.90
  5. Step 5: Solve for x
    x = 693,010.90/1,137.20
  6. Step 6: Final answer
    x = 609.40

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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.