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Finding the Fourth Proportional to 967.85, 1,338.23 and 844.84

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Solution

The fourth proportional to 967.85, 1,338.23 and 844.84 is: 1,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.85 : 1,338.23 = 844.84 : x
  2. Step 2: Convert to fraction form
    967.85/1,338.23 = 844.84/x
  3. Step 3: Cross multiply
    967.85x = 1,338.23 × 844.84
  4. Step 4: Simplify right side
    967.85x = 1,130,590.23
  5. Step 5: Solve for x
    x = 1,130,590.23/967.85
  6. Step 6: Final answer
    x = 1,168.15

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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.