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Finding the Fourth Proportional to 835.00, 1,253.66 and 525.94

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Solution

The fourth proportional to 835.00, 1,253.66 and 525.94 is: 789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.00 : 1,253.66 = 525.94 : x
  2. Step 2: Convert to fraction form
    835.00/1,253.66 = 525.94/x
  3. Step 3: Cross multiply
    835.00x = 1,253.66 × 525.94
  4. Step 4: Simplify right side
    835.00x = 659,344.18
  5. Step 5: Solve for x
    x = 659,344.18/835.00
  6. Step 6: Final answer
    x = 789.64

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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.