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Finding the Fourth Proportional to 1,407.09, 2,110.77 and 367.09

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Solution

The fourth proportional to 1,407.09, 2,110.77 and 367.09 is: 550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.09 : 2,110.77 = 367.09 : x
  2. Step 2: Convert to fraction form
    1,407.09/2,110.77 = 367.09/x
  3. Step 3: Cross multiply
    1,407.09x = 2,110.77 × 367.09
  4. Step 4: Simplify right side
    1,407.09x = 774,837.28
  5. Step 5: Solve for x
    x = 774,837.28/1,407.09
  6. Step 6: Final answer
    x = 550.67

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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.