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Finding the Fourth Proportional to 1,039.70, 1,428.39 and 842.62

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Solution

The fourth proportional to 1,039.70, 1,428.39 and 842.62 is: 1,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.70 : 1,428.39 = 842.62 : x
  2. Step 2: Convert to fraction form
    1,039.70/1,428.39 = 842.62/x
  3. Step 3: Cross multiply
    1,039.70x = 1,428.39 × 842.62
  4. Step 4: Simplify right side
    1,039.70x = 1,203,585.77
  5. Step 5: Solve for x
    x = 1,203,585.77/1,039.70
  6. Step 6: Final answer
    x = 1,157.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.