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Finding the Fourth Proportional to 446.54, 664.99 and 435.20

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Solution

The fourth proportional to 446.54, 664.99 and 435.20 is: 648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.54 : 664.99 = 435.20 : x
  2. Step 2: Convert to fraction form
    446.54/664.99 = 435.20/x
  3. Step 3: Cross multiply
    446.54x = 664.99 × 435.20
  4. Step 4: Simplify right side
    446.54x = 289,403.65
  5. Step 5: Solve for x
    x = 289,403.65/446.54
  6. Step 6: Final answer
    x = 648.10

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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.