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Finding the Fourth Proportional to 654.45, 981.81 and 325.57

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Solution

The fourth proportional to 654.45, 981.81 and 325.57 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.45 : 981.81 = 325.57 : x
  2. Step 2: Convert to fraction form
    654.45/981.81 = 325.57/x
  3. Step 3: Cross multiply
    654.45x = 981.81 × 325.57
  4. Step 4: Simplify right side
    654.45x = 319,642.97
  5. Step 5: Solve for x
    x = 319,642.97/654.45
  6. Step 6: Final answer
    x = 488.41

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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.