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Finding the Fourth Proportional to 654.06, 982.56 and 380.82

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Solution

The fourth proportional to 654.06, 982.56 and 380.82 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 982.56 = 380.82 : x
  2. Step 2: Convert to fraction form
    654.06/982.56 = 380.82/x
  3. Step 3: Cross multiply
    654.06x = 982.56 × 380.82
  4. Step 4: Simplify right side
    654.06x = 374,178.50
  5. Step 5: Solve for x
    x = 374,178.50/654.06
  6. Step 6: Final answer
    x = 572.09

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Half scale
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Double scale
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Similar ratio
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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.