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Finding the Fourth Proportional to 450.52, 671.82 and 446.41

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Solution

The fourth proportional to 450.52, 671.82 and 446.41 is: 665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.52 : 671.82 = 446.41 : x
  2. Step 2: Convert to fraction form
    450.52/671.82 = 446.41/x
  3. Step 3: Cross multiply
    450.52x = 671.82 × 446.41
  4. Step 4: Simplify right side
    450.52x = 299,907.17
  5. Step 5: Solve for x
    x = 299,907.17/450.52
  6. Step 6: Final answer
    x = 665.70

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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.