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Finding the Fourth Proportional to 940.90, 1,410.77 and 447.46

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Solution

The fourth proportional to 940.90, 1,410.77 and 447.46 is: 670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.90 : 1,410.77 = 447.46 : x
  2. Step 2: Convert to fraction form
    940.90/1,410.77 = 447.46/x
  3. Step 3: Cross multiply
    940.90x = 1,410.77 × 447.46
  4. Step 4: Simplify right side
    940.90x = 631,260.74
  5. Step 5: Solve for x
    x = 631,260.74/940.90
  6. Step 6: Final answer
    x = 670.91

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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.