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Finding the Fourth Proportional to 1,055.10, 1,581.09 and 939.77

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Solution

The fourth proportional to 1,055.10, 1,581.09 and 939.77 is: 1,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.10 : 1,581.09 = 939.77 : x
  2. Step 2: Convert to fraction form
    1,055.10/1,581.09 = 939.77/x
  3. Step 3: Cross multiply
    1,055.10x = 1,581.09 × 939.77
  4. Step 4: Simplify right side
    1,055.10x = 1,485,860.95
  5. Step 5: Solve for x
    x = 1,485,860.95/1,055.10
  6. Step 6: Final answer
    x = 1,408.27

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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.