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Finding the Fourth Proportional to 450.06, 671.80 and 411.60

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Solution

The fourth proportional to 450.06, 671.80 and 411.60 is: 614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.06 : 671.80 = 411.60 : x
  2. Step 2: Convert to fraction form
    450.06/671.80 = 411.60/x
  3. Step 3: Cross multiply
    450.06x = 671.80 × 411.60
  4. Step 4: Simplify right side
    450.06x = 276,512.88
  5. Step 5: Solve for x
    x = 276,512.88/450.06
  6. Step 6: Final answer
    x = 614.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.