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Finding the Fourth Proportional to 1,234.57, 1,850.46 and 412.65

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Solution

The fourth proportional to 1,234.57, 1,850.46 and 412.65 is: 618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.57 : 1,850.46 = 412.65 : x
  2. Step 2: Convert to fraction form
    1,234.57/1,850.46 = 412.65/x
  3. Step 3: Cross multiply
    1,234.57x = 1,850.46 × 412.65
  4. Step 4: Simplify right side
    1,234.57x = 763,592.32
  5. Step 5: Solve for x
    x = 763,592.32/1,234.57
  6. Step 6: Final answer
    x = 618.51

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Half scale
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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.