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Finding the Fourth Proportional to 613.42, 920.14 and 324.26

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Solution

The fourth proportional to 613.42, 920.14 and 324.26 is: 486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.42 : 920.14 = 324.26 : x
  2. Step 2: Convert to fraction form
    613.42/920.14 = 324.26/x
  3. Step 3: Cross multiply
    613.42x = 920.14 × 324.26
  4. Step 4: Simplify right side
    613.42x = 298,364.60
  5. Step 5: Solve for x
    x = 298,364.60/613.42
  6. Step 6: Final answer
    x = 486.40

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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.