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Finding the Fourth Proportional to 1,419.21, 1,958.45 and 821.67

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Solution

The fourth proportional to 1,419.21, 1,958.45 and 821.67 is: 1,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.21 : 1,958.45 = 821.67 : x
  2. Step 2: Convert to fraction form
    1,419.21/1,958.45 = 821.67/x
  3. Step 3: Cross multiply
    1,419.21x = 1,958.45 × 821.67
  4. Step 4: Simplify right side
    1,419.21x = 1,609,188.16
  5. Step 5: Solve for x
    x = 1,609,188.16/1,419.21
  6. Step 6: Final answer
    x = 1,133.86

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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.