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Finding the Fourth Proportional to 825.03, 1,238.31 and 414.63

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Solution

The fourth proportional to 825.03, 1,238.31 and 414.63 is: 622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.03 : 1,238.31 = 414.63 : x
  2. Step 2: Convert to fraction form
    825.03/1,238.31 = 414.63/x
  3. Step 3: Cross multiply
    825.03x = 1,238.31 × 414.63
  4. Step 4: Simplify right side
    825.03x = 513,440.48
  5. Step 5: Solve for x
    x = 513,440.48/825.03
  6. Step 6: Final answer
    x = 622.33

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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.