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Finding the Fourth Proportional to 854.94, 1,174.72 and 679.98

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Solution

The fourth proportional to 854.94, 1,174.72 and 679.98 is: 934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.94 : 1,174.72 = 679.98 : x
  2. Step 2: Convert to fraction form
    854.94/1,174.72 = 679.98/x
  3. Step 3: Cross multiply
    854.94x = 1,174.72 × 679.98
  4. Step 4: Simplify right side
    854.94x = 798,786.11
  5. Step 5: Solve for x
    x = 798,786.11/854.94
  6. Step 6: Final answer
    x = 934.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.