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Finding the Fourth Proportional to 849.28, 1,172.64 and 674.32

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Solution

The fourth proportional to 849.28, 1,172.64 and 674.32 is: 931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.28 : 1,172.64 = 674.32 : x
  2. Step 2: Convert to fraction form
    849.28/1,172.64 = 674.32/x
  3. Step 3: Cross multiply
    849.28x = 1,172.64 × 674.32
  4. Step 4: Simplify right side
    849.28x = 790,734.60
  5. Step 5: Solve for x
    x = 790,734.60/849.28
  6. Step 6: Final answer
    x = 931.06

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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.