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Finding the Fourth Proportional to 940.98, 1,412.37 and 576.48

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Solution

The fourth proportional to 940.98, 1,412.37 and 576.48 is: 865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.98 : 1,412.37 = 576.48 : x
  2. Step 2: Convert to fraction form
    940.98/1,412.37 = 576.48/x
  3. Step 3: Cross multiply
    940.98x = 1,412.37 × 576.48
  4. Step 4: Simplify right side
    940.98x = 814,203.06
  5. Step 5: Solve for x
    x = 814,203.06/940.98
  6. Step 6: Final answer
    x = 865.27

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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.