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Finding the Fourth Proportional to 654.54, 980.96 and 288.88

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Solution

The fourth proportional to 654.54, 980.96 and 288.88 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 980.96 = 288.88 : x
  2. Step 2: Convert to fraction form
    654.54/980.96 = 288.88/x
  3. Step 3: Cross multiply
    654.54x = 980.96 × 288.88
  4. Step 4: Simplify right side
    654.54x = 283,379.72
  5. Step 5: Solve for x
    x = 283,379.72/654.54
  6. Step 6: Final answer
    x = 432.94

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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.