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Finding the Fourth Proportional to 654.64, 982.20 and 380.68

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Solution

The fourth proportional to 654.64, 982.20 and 380.68 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.64 : 982.20 = 380.68 : x
  2. Step 2: Convert to fraction form
    654.64/982.20 = 380.68/x
  3. Step 3: Cross multiply
    654.64x = 982.20 × 380.68
  4. Step 4: Simplify right side
    654.64x = 373,903.90
  5. Step 5: Solve for x
    x = 373,903.90/654.64
  6. Step 6: Final answer
    x = 571.16

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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.