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Finding the Fourth Proportional to 435.48, 648.86 and 408.12

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Solution

The fourth proportional to 435.48, 648.86 and 408.12 is: 608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 648.86 = 408.12 : x
  2. Step 2: Convert to fraction form
    435.48/648.86 = 408.12/x
  3. Step 3: Cross multiply
    435.48x = 648.86 × 408.12
  4. Step 4: Simplify right side
    435.48x = 264,810.70
  5. Step 5: Solve for x
    x = 264,810.70/435.48
  6. Step 6: Final answer
    x = 608.09

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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.