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Finding the Fourth Proportional to 654.09, 980.55 and 288.60

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Solution

The fourth proportional to 654.09, 980.55 and 288.60 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.09 : 980.55 = 288.60 : x
  2. Step 2: Convert to fraction form
    654.09/980.55 = 288.60/x
  3. Step 3: Cross multiply
    654.09x = 980.55 × 288.60
  4. Step 4: Simplify right side
    654.09x = 282,986.73
  5. Step 5: Solve for x
    x = 282,986.73/654.09
  6. Step 6: Final answer
    x = 432.64

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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.