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Finding the Fourth Proportional to 654.98, 982.14 and 381.14

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Solution

The fourth proportional to 654.98, 982.14 and 381.14 is: 571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.98 : 982.14 = 381.14 : x
  2. Step 2: Convert to fraction form
    654.98/982.14 = 381.14/x
  3. Step 3: Cross multiply
    654.98x = 982.14 × 381.14
  4. Step 4: Simplify right side
    654.98x = 374,327.93
  5. Step 5: Solve for x
    x = 374,327.93/654.98
  6. Step 6: Final answer
    x = 571.51

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.