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Finding the Fourth Proportional to 1,231.34, 1,847.39 and 410.20

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Solution

The fourth proportional to 1,231.34, 1,847.39 and 410.20 is: 615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.34 : 1,847.39 = 410.20 : x
  2. Step 2: Convert to fraction form
    1,231.34/1,847.39 = 410.20/x
  3. Step 3: Cross multiply
    1,231.34x = 1,847.39 × 410.20
  4. Step 4: Simplify right side
    1,231.34x = 757,792.71
  5. Step 5: Solve for x
    x = 757,792.71/1,231.34
  6. Step 6: Final answer
    x = 615.42

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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.