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Finding the Fourth Proportional to 654.60, 981.88 and 264.59

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Solution

The fourth proportional to 654.60, 981.88 and 264.59 is: 396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 981.88 = 264.59 : x
  2. Step 2: Convert to fraction form
    654.60/981.88 = 264.59/x
  3. Step 3: Cross multiply
    654.60x = 981.88 × 264.59
  4. Step 4: Simplify right side
    654.60x = 259,795.63
  5. Step 5: Solve for x
    x = 259,795.63/654.60
  6. Step 6: Final answer
    x = 396.88

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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.