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Finding the Fourth Proportional to 940.20, 1,407.51 and 697.80

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Solution

The fourth proportional to 940.20, 1,407.51 and 697.80 is: 1,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.20 : 1,407.51 = 697.80 : x
  2. Step 2: Convert to fraction form
    940.20/1,407.51 = 697.80/x
  3. Step 3: Cross multiply
    940.20x = 1,407.51 × 697.80
  4. Step 4: Simplify right side
    940.20x = 982,160.48
  5. Step 5: Solve for x
    x = 982,160.48/940.20
  6. Step 6: Final answer
    x = 1,044.63

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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.