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Finding the Fourth Proportional to 445.84, 664.37 and 421

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Solution

The fourth proportional to 445.84, 664.37 and 421 is: 627.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.84 : 664.37 = 421 : x
  2. Step 2: Convert to fraction form
    445.84/664.37 = 421/x
  3. Step 3: Cross multiply
    445.84x = 664.37 × 421
  4. Step 4: Simplify right side
    445.84x = 279,699.77
  5. Step 5: Solve for x
    x = 279,699.77/445.84
  6. Step 6: Final answer
    x = 627.35

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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.