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Finding the Fourth Proportional to 835.87, 1,253.90 and 513.31

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Solution

The fourth proportional to 835.87, 1,253.90 and 513.31 is: 770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.87 : 1,253.90 = 513.31 : x
  2. Step 2: Convert to fraction form
    835.87/1,253.90 = 513.31/x
  3. Step 3: Cross multiply
    835.87x = 1,253.90 × 513.31
  4. Step 4: Simplify right side
    835.87x = 643,636.84
  5. Step 5: Solve for x
    x = 643,636.84/835.87
  6. Step 6: Final answer
    x = 770.02

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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.