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Finding the Fourth Proportional to 854.94, 1,178.43 and 668.12

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Solution

The fourth proportional to 854.94, 1,178.43 and 668.12 is: 920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.94 : 1,178.43 = 668.12 : x
  2. Step 2: Convert to fraction form
    854.94/1,178.43 = 668.12/x
  3. Step 3: Cross multiply
    854.94x = 1,178.43 × 668.12
  4. Step 4: Simplify right side
    854.94x = 787,326.76
  5. Step 5: Solve for x
    x = 787,326.76/854.94
  6. Step 6: Final answer
    x = 920.91

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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.