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Finding the Fourth Proportional to 854.24, 1,177.28 and 667.44

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Solution

The fourth proportional to 854.24, 1,177.28 and 667.44 is: 919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.24 : 1,177.28 = 667.44 : x
  2. Step 2: Convert to fraction form
    854.24/1,177.28 = 667.44/x
  3. Step 3: Cross multiply
    854.24x = 1,177.28 × 667.44
  4. Step 4: Simplify right side
    854.24x = 785,763.76
  5. Step 5: Solve for x
    x = 785,763.76/854.24
  6. Step 6: Final answer
    x = 919.84

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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.