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Finding the Fourth Proportional to 825.57, 1,237.98 and 386.73

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Solution

The fourth proportional to 825.57, 1,237.98 and 386.73 is: 579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.57 : 1,237.98 = 386.73 : x
  2. Step 2: Convert to fraction form
    825.57/1,237.98 = 386.73/x
  3. Step 3: Cross multiply
    825.57x = 1,237.98 × 386.73
  4. Step 4: Simplify right side
    825.57x = 478,764.01
  5. Step 5: Solve for x
    x = 478,764.01/825.57
  6. Step 6: Final answer
    x = 579.92

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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.