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Finding the Fourth Proportional to 940.06, 1,296.26 and 641.50

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Solution

The fourth proportional to 940.06, 1,296.26 and 641.50 is: 884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.06 : 1,296.26 = 641.50 : x
  2. Step 2: Convert to fraction form
    940.06/1,296.26 = 641.50/x
  3. Step 3: Cross multiply
    940.06x = 1,296.26 × 641.50
  4. Step 4: Simplify right side
    940.06x = 831,550.79
  5. Step 5: Solve for x
    x = 831,550.79/940.06
  6. Step 6: Final answer
    x = 884.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.