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Finding the Fourth Proportional to 1,230.37, 1,846.04 and 450.42

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Solution

The fourth proportional to 1,230.37, 1,846.04 and 450.42 is: 675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.37 : 1,846.04 = 450.42 : x
  2. Step 2: Convert to fraction form
    1,230.37/1,846.04 = 450.42/x
  3. Step 3: Cross multiply
    1,230.37x = 1,846.04 × 450.42
  4. Step 4: Simplify right side
    1,230.37x = 831,493.34
  5. Step 5: Solve for x
    x = 831,493.34/1,230.37
  6. Step 6: Final answer
    x = 675.81

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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.