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Finding the Fourth Proportional to 1,419.72, 2,128.20 and 689.44

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Solution

The fourth proportional to 1,419.72, 2,128.20 and 689.44 is: 1,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.72 : 2,128.20 = 689.44 : x
  2. Step 2: Convert to fraction form
    1,419.72/2,128.20 = 689.44/x
  3. Step 3: Cross multiply
    1,419.72x = 2,128.20 × 689.44
  4. Step 4: Simplify right side
    1,419.72x = 1,467,266.21
  5. Step 5: Solve for x
    x = 1,467,266.21/1,419.72
  6. Step 6: Final answer
    x = 1,033.49

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1.5x scale

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.