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Finding the Fourth Proportional to 419.84, 579.94 and 322.81

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Solution

The fourth proportional to 419.84, 579.94 and 322.81 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 579.94 = 322.81 : x
  2. Step 2: Convert to fraction form
    419.84/579.94 = 322.81/x
  3. Step 3: Cross multiply
    419.84x = 579.94 × 322.81
  4. Step 4: Simplify right side
    419.84x = 187,210.43
  5. Step 5: Solve for x
    x = 187,210.43/419.84
  6. Step 6: Final answer
    x = 445.91

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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.