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Finding the Fourth Proportional to 940.09, 1,408.20 and 646.60

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Solution

The fourth proportional to 940.09, 1,408.20 and 646.60 is: 968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.09 : 1,408.20 = 646.60 : x
  2. Step 2: Convert to fraction form
    940.09/1,408.20 = 646.60/x
  3. Step 3: Cross multiply
    940.09x = 1,408.20 × 646.60
  4. Step 4: Simplify right side
    940.09x = 910,542.12
  5. Step 5: Solve for x
    x = 910,542.12/940.09
  6. Step 6: Final answer
    x = 968.57

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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.