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Finding the Fourth Proportional to 850.03, 1,172.27 and 702.41

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Solution

The fourth proportional to 850.03, 1,172.27 and 702.41 is: 968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.03 : 1,172.27 = 702.41 : x
  2. Step 2: Convert to fraction form
    850.03/1,172.27 = 702.41/x
  3. Step 3: Cross multiply
    850.03x = 1,172.27 × 702.41
  4. Step 4: Simplify right side
    850.03x = 823,410.07
  5. Step 5: Solve for x
    x = 823,410.07/850.03
  6. Step 6: Final answer
    x = 968.69

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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.