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Finding the Fourth Proportional to 654.12, 984.72 and 564.84

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Solution

The fourth proportional to 654.12, 984.72 and 564.84 is: 850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 984.72 = 564.84 : x
  2. Step 2: Convert to fraction form
    654.12/984.72 = 564.84/x
  3. Step 3: Cross multiply
    654.12x = 984.72 × 564.84
  4. Step 4: Simplify right side
    654.12x = 556,209.24
  5. Step 5: Solve for x
    x = 556,209.24/654.12
  6. Step 6: Final answer
    x = 850.32

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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.