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Finding the Fourth Proportional to 446.84, 671.87 and 411.20

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Solution

The fourth proportional to 446.84, 671.87 and 411.20 is: 618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.84 : 671.87 = 411.20 : x
  2. Step 2: Convert to fraction form
    446.84/671.87 = 411.20/x
  3. Step 3: Cross multiply
    446.84x = 671.87 × 411.20
  4. Step 4: Simplify right side
    446.84x = 276,272.94
  5. Step 5: Solve for x
    x = 276,272.94/446.84
  6. Step 6: Final answer
    x = 618.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.