Home / 1,419.23-2,128.71-445.25

Finding the Fourth Proportional to 1,419.23, 2,128.71 and 445.25

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Solution

The fourth proportional to 1,419.23, 2,128.71 and 445.25 is: 667.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.23 : 2,128.71 = 445.25 : x
  2. Step 2: Convert to fraction form
    1,419.23/2,128.71 = 445.25/x
  3. Step 3: Cross multiply
    1,419.23x = 2,128.71 × 445.25
  4. Step 4: Simplify right side
    1,419.23x = 947,808.13
  5. Step 5: Solve for x
    x = 947,808.13/1,419.23
  6. Step 6: Final answer
    x = 667.83

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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.