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Finding the Fourth Proportional to 1,419.39, 1,958.74 and 821.66

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Solution

The fourth proportional to 1,419.39, 1,958.74 and 821.66 is: 1,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.39 : 1,958.74 = 821.66 : x
  2. Step 2: Convert to fraction form
    1,419.39/1,958.74 = 821.66/x
  3. Step 3: Cross multiply
    1,419.39x = 1,958.74 × 821.66
  4. Step 4: Simplify right side
    1,419.39x = 1,609,406.46
  5. Step 5: Solve for x
    x = 1,609,406.46/1,419.39
  6. Step 6: Final answer
    x = 1,133.87

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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.