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Finding the Fourth Proportional to 419.68, 579 and 323.89

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Solution

The fourth proportional to 419.68, 579 and 323.89 is: 446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 579 = 323.89 : x
  2. Step 2: Convert to fraction form
    419.68/579 = 323.89/x
  3. Step 3: Cross multiply
    419.68x = 579 × 323.89
  4. Step 4: Simplify right side
    419.68x = 187,532.31
  5. Step 5: Solve for x
    x = 187,532.31/419.68
  6. Step 6: Final answer
    x = 446.85

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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.