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Finding the Fourth Proportional to 825.28, 1,237.79 and 305.53

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Solution

The fourth proportional to 825.28, 1,237.79 and 305.53 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.28 : 1,237.79 = 305.53 : x
  2. Step 2: Convert to fraction form
    825.28/1,237.79 = 305.53/x
  3. Step 3: Cross multiply
    825.28x = 1,237.79 × 305.53
  4. Step 4: Simplify right side
    825.28x = 378,177.93
  5. Step 5: Solve for x
    x = 378,177.93/825.28
  6. Step 6: Final answer
    x = 458.24

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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.