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Finding the Fourth Proportional to 662.63, 914.63 and 488.48

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Solution

The fourth proportional to 662.63, 914.63 and 488.48 is: 674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 914.63 = 488.48 : x
  2. Step 2: Convert to fraction form
    662.63/914.63 = 488.48/x
  3. Step 3: Cross multiply
    662.63x = 914.63 × 488.48
  4. Step 4: Simplify right side
    662.63x = 446,771.45
  5. Step 5: Solve for x
    x = 446,771.45/662.63
  6. Step 6: Final answer
    x = 674.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.