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Finding the Fourth Proportional to 1,219.54, 1,683.33 and 836.31

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Solution

The fourth proportional to 1,219.54, 1,683.33 and 836.31 is: 1,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.54 : 1,683.33 = 836.31 : x
  2. Step 2: Convert to fraction form
    1,219.54/1,683.33 = 836.31/x
  3. Step 3: Cross multiply
    1,219.54x = 1,683.33 × 836.31
  4. Step 4: Simplify right side
    1,219.54x = 1,407,785.71
  5. Step 5: Solve for x
    x = 1,407,785.71/1,219.54
  6. Step 6: Final answer
    x = 1,154.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.