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Finding the Fourth Proportional to 1,230.67, 1,846.19 and 461.11

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Solution

The fourth proportional to 1,230.67, 1,846.19 and 461.11 is: 691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.67 : 1,846.19 = 461.11 : x
  2. Step 2: Convert to fraction form
    1,230.67/1,846.19 = 461.11/x
  3. Step 3: Cross multiply
    1,230.67x = 1,846.19 × 461.11
  4. Step 4: Simplify right side
    1,230.67x = 851,296.67
  5. Step 5: Solve for x
    x = 851,296.67/1,230.67
  6. Step 6: Final answer
    x = 691.73

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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.