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Finding the Fourth Proportional to 960.78, 1,433.67 and 857.35

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Solution

The fourth proportional to 960.78, 1,433.67 and 857.35 is: 1,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.78 : 1,433.67 = 857.35 : x
  2. Step 2: Convert to fraction form
    960.78/1,433.67 = 857.35/x
  3. Step 3: Cross multiply
    960.78x = 1,433.67 × 857.35
  4. Step 4: Simplify right side
    960.78x = 1,229,156.97
  5. Step 5: Solve for x
    x = 1,229,156.97/960.78
  6. Step 6: Final answer
    x = 1,279.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.