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Finding the Fourth Proportional to 825.60, 1,238.04 and 414.48

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Solution

The fourth proportional to 825.60, 1,238.04 and 414.48 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.60 : 1,238.04 = 414.48 : x
  2. Step 2: Convert to fraction form
    825.60/1,238.04 = 414.48/x
  3. Step 3: Cross multiply
    825.60x = 1,238.04 × 414.48
  4. Step 4: Simplify right side
    825.60x = 513,142.82
  5. Step 5: Solve for x
    x = 513,142.82/825.60
  6. Step 6: Final answer
    x = 621.54

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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.