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Finding the Fourth Proportional to 1,419.39, 1,958.73 and 867.39

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Solution

The fourth proportional to 1,419.39, 1,958.73 and 867.39 is: 1,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.39 : 1,958.73 = 867.39 : x
  2. Step 2: Convert to fraction form
    1,419.39/1,958.73 = 867.39/x
  3. Step 3: Cross multiply
    1,419.39x = 1,958.73 × 867.39
  4. Step 4: Simplify right side
    1,419.39x = 1,698,982.81
  5. Step 5: Solve for x
    x = 1,698,982.81/1,419.39
  6. Step 6: Final answer
    x = 1,196.98

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1.5x scale

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.