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Finding the Fourth Proportional to 967.12, 1,334.01 and 843.08

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Solution

The fourth proportional to 967.12, 1,334.01 and 843.08 is: 1,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.12 : 1,334.01 = 843.08 : x
  2. Step 2: Convert to fraction form
    967.12/1,334.01 = 843.08/x
  3. Step 3: Cross multiply
    967.12x = 1,334.01 × 843.08
  4. Step 4: Simplify right side
    967.12x = 1,124,670.48
  5. Step 5: Solve for x
    x = 1,124,670.48/967.12
  6. Step 6: Final answer
    x = 1,162.91

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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.