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Finding the Fourth Proportional to 654.09, 980.33 and 288.51

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Solution

The fourth proportional to 654.09, 980.33 and 288.51 is: 432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 980.33 = 288.51 : x
  2. Step 2: Convert to fraction form
    654.09/980.33 = 288.51/x
  3. Step 3: Cross multiply
    654.09x = 980.33 × 288.51
  4. Step 4: Simplify right side
    654.09x = 282,833.57
  5. Step 5: Solve for x
    x = 282,833.57/654.09
  6. Step 6: Final answer
    x = 432.41

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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.