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Finding the Fourth Proportional to 854.01, 1,178.49 and 605.75

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Solution

The fourth proportional to 854.01, 1,178.49 and 605.75 is: 835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.01 : 1,178.49 = 605.75 : x
  2. Step 2: Convert to fraction form
    854.01/1,178.49 = 605.75/x
  3. Step 3: Cross multiply
    854.01x = 1,178.49 × 605.75
  4. Step 4: Simplify right side
    854.01x = 713,864.43
  5. Step 5: Solve for x
    x = 713,864.43/854.01
  6. Step 6: Final answer
    x = 835.90

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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.