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Finding the Fourth Proportional to 825.65, 1,238.60 and 277.70

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Solution

The fourth proportional to 825.65, 1,238.60 and 277.70 is: 416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.65 : 1,238.60 = 277.70 : x
  2. Step 2: Convert to fraction form
    825.65/1,238.60 = 277.70/x
  3. Step 3: Cross multiply
    825.65x = 1,238.60 × 277.70
  4. Step 4: Simplify right side
    825.65x = 343,957.83
  5. Step 5: Solve for x
    x = 343,957.83/825.65
  6. Step 6: Final answer
    x = 416.59

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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.