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Finding the Fourth Proportional to 849.02, 1,172.49 and 847.40

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Solution

The fourth proportional to 849.02, 1,172.49 and 847.40 is: 1,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,172.49 = 847.40 : x
  2. Step 2: Convert to fraction form
    849.02/1,172.49 = 847.40/x
  3. Step 3: Cross multiply
    849.02x = 1,172.49 × 847.40
  4. Step 4: Simplify right side
    849.02x = 993,568.03
  5. Step 5: Solve for x
    x = 993,568.03/849.02
  6. Step 6: Final answer
    x = 1,170.25

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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.