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Finding the Fourth Proportional to 1,230.41, 1,846.21 and 614.21

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Solution

The fourth proportional to 1,230.41, 1,846.21 and 614.21 is: 921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.41 : 1,846.21 = 614.21 : x
  2. Step 2: Convert to fraction form
    1,230.41/1,846.21 = 614.21/x
  3. Step 3: Cross multiply
    1,230.41x = 1,846.21 × 614.21
  4. Step 4: Simplify right side
    1,230.41x = 1,133,949.88
  5. Step 5: Solve for x
    x = 1,133,949.88/1,230.41
  6. Step 6: Final answer
    x = 921.60

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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.