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Finding the Fourth Proportional to 825.59, 1,139.32 and 452.57

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Solution

The fourth proportional to 825.59, 1,139.32 and 452.57 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.59 : 1,139.32 = 452.57 : x
  2. Step 2: Convert to fraction form
    825.59/1,139.32 = 452.57/x
  3. Step 3: Cross multiply
    825.59x = 1,139.32 × 452.57
  4. Step 4: Simplify right side
    825.59x = 515,615.98
  5. Step 5: Solve for x
    x = 515,615.98/825.59
  6. Step 6: Final answer
    x = 624.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.