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Finding the Fourth Proportional to 654.31, 981.81 and 289.36

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Solution

The fourth proportional to 654.31, 981.81 and 289.36 is: 434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.31 : 981.81 = 289.36 : x
  2. Step 2: Convert to fraction form
    654.31/981.81 = 289.36/x
  3. Step 3: Cross multiply
    654.31x = 981.81 × 289.36
  4. Step 4: Simplify right side
    654.31x = 284,094.09
  5. Step 5: Solve for x
    x = 284,094.09/654.31
  6. Step 6: Final answer
    x = 434.19

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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.