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Finding the Fourth Proportional to 835.70, 1,253.55 and 823.55

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Solution

The fourth proportional to 835.70, 1,253.55 and 823.55 is: 1,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.70 : 1,253.55 = 823.55 : x
  2. Step 2: Convert to fraction form
    835.70/1,253.55 = 823.55/x
  3. Step 3: Cross multiply
    835.70x = 1,253.55 × 823.55
  4. Step 4: Simplify right side
    835.70x = 1,032,361.10
  5. Step 5: Solve for x
    x = 1,032,361.10/835.70
  6. Step 6: Final answer
    x = 1,235.33

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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.