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Finding the Fourth Proportional to 825.55, 1,238.53 and 582.55

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Solution

The fourth proportional to 825.55, 1,238.53 and 582.55 is: 873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.55 : 1,238.53 = 582.55 : x
  2. Step 2: Convert to fraction form
    825.55/1,238.53 = 582.55/x
  3. Step 3: Cross multiply
    825.55x = 1,238.53 × 582.55
  4. Step 4: Simplify right side
    825.55x = 721,509.02
  5. Step 5: Solve for x
    x = 721,509.02/825.55
  6. Step 6: Final answer
    x = 873.97

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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.