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Finding the Fourth Proportional to 1,230.75, 1,846.40 and 409.61

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Solution

The fourth proportional to 1,230.75, 1,846.40 and 409.61 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.75 : 1,846.40 = 409.61 : x
  2. Step 2: Convert to fraction form
    1,230.75/1,846.40 = 409.61/x
  3. Step 3: Cross multiply
    1,230.75x = 1,846.40 × 409.61
  4. Step 4: Simplify right side
    1,230.75x = 756,306.47
  5. Step 5: Solve for x
    x = 756,306.47/1,230.75
  6. Step 6: Final answer
    x = 614.51

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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.