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Finding the Fourth Proportional to 940.82, 1,411.29 and 454.14

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Solution

The fourth proportional to 940.82, 1,411.29 and 454.14 is: 681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.82 : 1,411.29 = 454.14 : x
  2. Step 2: Convert to fraction form
    940.82/1,411.29 = 454.14/x
  3. Step 3: Cross multiply
    940.82x = 1,411.29 × 454.14
  4. Step 4: Simplify right side
    940.82x = 640,923.24
  5. Step 5: Solve for x
    x = 640,923.24/940.82
  6. Step 6: Final answer
    x = 681.24

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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.