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Finding the Fourth Proportional to 662.06, 912.77 and 485.07

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Solution

The fourth proportional to 662.06, 912.77 and 485.07 is: 668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 912.77 = 485.07 : x
  2. Step 2: Convert to fraction form
    662.06/912.77 = 485.07/x
  3. Step 3: Cross multiply
    662.06x = 912.77 × 485.07
  4. Step 4: Simplify right side
    662.06x = 442,754.92
  5. Step 5: Solve for x
    x = 442,754.92/662.06
  6. Step 6: Final answer
    x = 668.76

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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.