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Finding the Fourth Proportional to 426.94, 589.62 and 381.14

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Solution

The fourth proportional to 426.94, 589.62 and 381.14 is: 526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.94 : 589.62 = 381.14 : x
  2. Step 2: Convert to fraction form
    426.94/589.62 = 381.14/x
  3. Step 3: Cross multiply
    426.94x = 589.62 × 381.14
  4. Step 4: Simplify right side
    426.94x = 224,727.77
  5. Step 5: Solve for x
    x = 224,727.77/426.94
  6. Step 6: Final answer
    x = 526.37

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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.