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Finding the Fourth Proportional to 654.51, 980.81 and 600.82

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Solution

The fourth proportional to 654.51, 980.81 and 600.82 is: 900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.51 : 980.81 = 600.82 : x
  2. Step 2: Convert to fraction form
    654.51/980.81 = 600.82/x
  3. Step 3: Cross multiply
    654.51x = 980.81 × 600.82
  4. Step 4: Simplify right side
    654.51x = 589,287.06
  5. Step 5: Solve for x
    x = 589,287.06/654.51
  6. Step 6: Final answer
    x = 900.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.