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Finding the Fourth Proportional to 825.77, 1,238.85 and 582.77

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Solution

The fourth proportional to 825.77, 1,238.85 and 582.77 is: 874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.77 : 1,238.85 = 582.77 : x
  2. Step 2: Convert to fraction form
    825.77/1,238.85 = 582.77/x
  3. Step 3: Cross multiply
    825.77x = 1,238.85 × 582.77
  4. Step 4: Simplify right side
    825.77x = 721,958.42
  5. Step 5: Solve for x
    x = 721,958.42/825.77
  6. Step 6: Final answer
    x = 874.29

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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.