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Finding the Fourth Proportional to 849.57, 1,274.90 and 842.63

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Solution

The fourth proportional to 849.57, 1,274.90 and 842.63 is: 1,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.57 : 1,274.90 = 842.63 : x
  2. Step 2: Convert to fraction form
    849.57/1,274.90 = 842.63/x
  3. Step 3: Cross multiply
    849.57x = 1,274.90 × 842.63
  4. Step 4: Simplify right side
    849.57x = 1,074,258.40
  5. Step 5: Solve for x
    x = 1,074,258.40/849.57
  6. Step 6: Final answer
    x = 1,264.47

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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.