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Finding the Fourth Proportional to 419.47, 579.72 and 326.11

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Solution

The fourth proportional to 419.47, 579.72 and 326.11 is: 450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.47 : 579.72 = 326.11 : x
  2. Step 2: Convert to fraction form
    419.47/579.72 = 326.11/x
  3. Step 3: Cross multiply
    419.47x = 579.72 × 326.11
  4. Step 4: Simplify right side
    419.47x = 189,052.49
  5. Step 5: Solve for x
    x = 189,052.49/419.47
  6. Step 6: Final answer
    x = 450.69

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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.