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Finding the Fourth Proportional to 662.06, 912.96 and 399.94

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Solution

The fourth proportional to 662.06, 912.96 and 399.94 is: 551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 912.96 = 399.94 : x
  2. Step 2: Convert to fraction form
    662.06/912.96 = 399.94/x
  3. Step 3: Cross multiply
    662.06x = 912.96 × 399.94
  4. Step 4: Simplify right side
    662.06x = 365,129.22
  5. Step 5: Solve for x
    x = 365,129.22/662.06
  6. Step 6: Final answer
    x = 551.50

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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.