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Finding the Fourth Proportional to 1,419.16, 1,958.03 and 821.60

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Solution

The fourth proportional to 1,419.16, 1,958.03 and 821.60 is: 1,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.16 : 1,958.03 = 821.60 : x
  2. Step 2: Convert to fraction form
    1,419.16/1,958.03 = 821.60/x
  3. Step 3: Cross multiply
    1,419.16x = 1,958.03 × 821.60
  4. Step 4: Simplify right side
    1,419.16x = 1,608,713.34
  5. Step 5: Solve for x
    x = 1,608,713.34/1,419.16
  6. Step 6: Final answer
    x = 1,133.57

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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.