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Finding the Fourth Proportional to 654.10, 984.72 and 564.82

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Solution

The fourth proportional to 654.10, 984.72 and 564.82 is: 850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.10 : 984.72 = 564.82 : x
  2. Step 2: Convert to fraction form
    654.10/984.72 = 564.82/x
  3. Step 3: Cross multiply
    654.10x = 984.72 × 564.82
  4. Step 4: Simplify right side
    654.10x = 556,186.73
  5. Step 5: Solve for x
    x = 556,186.73/654.10
  6. Step 6: Final answer
    x = 850.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.