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Finding the Fourth Proportional to 825.73, 1,237.41 and 800.77

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Solution

The fourth proportional to 825.73, 1,237.41 and 800.77 is: 1,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.73 : 1,237.41 = 800.77 : x
  2. Step 2: Convert to fraction form
    825.73/1,237.41 = 800.77/x
  3. Step 3: Cross multiply
    825.73x = 1,237.41 × 800.77
  4. Step 4: Simplify right side
    825.73x = 990,880.81
  5. Step 5: Solve for x
    x = 990,880.81/825.73
  6. Step 6: Final answer
    x = 1,200.01

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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.