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Finding the Fourth Proportional to 1,231.46, 1,847.49 and 582.65

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Solution

The fourth proportional to 1,231.46, 1,847.49 and 582.65 is: 874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.46 : 1,847.49 = 582.65 : x
  2. Step 2: Convert to fraction form
    1,231.46/1,847.49 = 582.65/x
  3. Step 3: Cross multiply
    1,231.46x = 1,847.49 × 582.65
  4. Step 4: Simplify right side
    1,231.46x = 1,076,440.05
  5. Step 5: Solve for x
    x = 1,076,440.05/1,231.46
  6. Step 6: Final answer
    x = 874.12

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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.