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Finding the Fourth Proportional to 825.76, 1,239.45 and 620.83

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Solution

The fourth proportional to 825.76, 1,239.45 and 620.83 is: 931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.76 : 1,239.45 = 620.83 : x
  2. Step 2: Convert to fraction form
    825.76/1,239.45 = 620.83/x
  3. Step 3: Cross multiply
    825.76x = 1,239.45 × 620.83
  4. Step 4: Simplify right side
    825.76x = 769,487.74
  5. Step 5: Solve for x
    x = 769,487.74/825.76
  6. Step 6: Final answer
    x = 931.85

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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.