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Finding the Fourth Proportional to 1,230.42, 1,845.78 and 408.96

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Solution

The fourth proportional to 1,230.42, 1,845.78 and 408.96 is: 613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.42 : 1,845.78 = 408.96 : x
  2. Step 2: Convert to fraction form
    1,230.42/1,845.78 = 408.96/x
  3. Step 3: Cross multiply
    1,230.42x = 1,845.78 × 408.96
  4. Step 4: Simplify right side
    1,230.42x = 754,850.19
  5. Step 5: Solve for x
    x = 754,850.19/1,230.42
  6. Step 6: Final answer
    x = 613.49

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Double scale
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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.