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Finding the Fourth Proportional to 1,399.90, 2,100.16 and 426.08

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Solution

The fourth proportional to 1,399.90, 2,100.16 and 426.08 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.90 : 2,100.16 = 426.08 : x
  2. Step 2: Convert to fraction form
    1,399.90/2,100.16 = 426.08/x
  3. Step 3: Cross multiply
    1,399.90x = 2,100.16 × 426.08
  4. Step 4: Simplify right side
    1,399.90x = 894,836.17
  5. Step 5: Solve for x
    x = 894,836.17/1,399.90
  6. Step 6: Final answer
    x = 639.21

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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.