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Finding the Fourth Proportional to 940.83, 1,410.43 and 453.21

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Solution

The fourth proportional to 940.83, 1,410.43 and 453.21 is: 679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.83 : 1,410.43 = 453.21 : x
  2. Step 2: Convert to fraction form
    940.83/1,410.43 = 453.21/x
  3. Step 3: Cross multiply
    940.83x = 1,410.43 × 453.21
  4. Step 4: Simplify right side
    940.83x = 639,220.98
  5. Step 5: Solve for x
    x = 639,220.98/940.83
  6. Step 6: Final answer
    x = 679.42

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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.