Home / 1,419.22-2,127.66-688.42

Finding the Fourth Proportional to 1,419.22, 2,127.66 and 688.42

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Solution

The fourth proportional to 1,419.22, 2,127.66 and 688.42 is: 1,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.22 : 2,127.66 = 688.42 : x
  2. Step 2: Convert to fraction form
    1,419.22/2,127.66 = 688.42/x
  3. Step 3: Cross multiply
    1,419.22x = 2,127.66 × 688.42
  4. Step 4: Simplify right side
    1,419.22x = 1,464,723.70
  5. Step 5: Solve for x
    x = 1,464,723.70/1,419.22
  6. Step 6: Final answer
    x = 1,032.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.