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Finding the Fourth Proportional to 654.32, 980.94 and 288.88

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Solution

The fourth proportional to 654.32, 980.94 and 288.88 is: 433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.32 : 980.94 = 288.88 : x
  2. Step 2: Convert to fraction form
    654.32/980.94 = 288.88/x
  3. Step 3: Cross multiply
    654.32x = 980.94 × 288.88
  4. Step 4: Simplify right side
    654.32x = 283,373.95
  5. Step 5: Solve for x
    x = 283,373.95/654.32
  6. Step 6: Final answer
    x = 433.08

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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.