Home / 1,403.72-2,105.66-786.94

Finding the Fourth Proportional to 1,403.72, 2,105.66 and 786.94

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Solution

The fourth proportional to 1,403.72, 2,105.66 and 786.94 is: 1,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.72 : 2,105.66 = 786.94 : x
  2. Step 2: Convert to fraction form
    1,403.72/2,105.66 = 786.94/x
  3. Step 3: Cross multiply
    1,403.72x = 2,105.66 × 786.94
  4. Step 4: Simplify right side
    1,403.72x = 1,657,028.08
  5. Step 5: Solve for x
    x = 1,657,028.08/1,403.72
  6. Step 6: Final answer
    x = 1,180.45

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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.