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Finding the Fourth Proportional to 614.11, 846.84 and 427.81

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Solution

The fourth proportional to 614.11, 846.84 and 427.81 is: 589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.11 : 846.84 = 427.81 : x
  2. Step 2: Convert to fraction form
    614.11/846.84 = 427.81/x
  3. Step 3: Cross multiply
    614.11x = 846.84 × 427.81
  4. Step 4: Simplify right side
    614.11x = 362,286.62
  5. Step 5: Solve for x
    x = 362,286.62/614.11
  6. Step 6: Final answer
    x = 589.94

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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.