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Finding the Fourth Proportional to 426.62, 589.43 and 322.05

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Solution

The fourth proportional to 426.62, 589.43 and 322.05 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.62 : 589.43 = 322.05 : x
  2. Step 2: Convert to fraction form
    426.62/589.43 = 322.05/x
  3. Step 3: Cross multiply
    426.62x = 589.43 × 322.05
  4. Step 4: Simplify right side
    426.62x = 189,825.48
  5. Step 5: Solve for x
    x = 189,825.48/426.62
  6. Step 6: Final answer
    x = 444.96

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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.