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Finding the Fourth Proportional to 940.41, 1,412.03 and 551.00

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Solution

The fourth proportional to 940.41, 1,412.03 and 551.00 is: 827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.41 : 1,412.03 = 551.00 : x
  2. Step 2: Convert to fraction form
    940.41/1,412.03 = 551.00/x
  3. Step 3: Cross multiply
    940.41x = 1,412.03 × 551.00
  4. Step 4: Simplify right side
    940.41x = 778,033.44
  5. Step 5: Solve for x
    x = 778,033.44/940.41
  6. Step 6: Final answer
    x = 827.33

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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.