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Finding the Fourth Proportional to 835.35, 1,252.10 and 396.13

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Solution

The fourth proportional to 835.35, 1,252.10 and 396.13 is: 593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.35 : 1,252.10 = 396.13 : x
  2. Step 2: Convert to fraction form
    835.35/1,252.10 = 396.13/x
  3. Step 3: Cross multiply
    835.35x = 1,252.10 × 396.13
  4. Step 4: Simplify right side
    835.35x = 495,994.37
  5. Step 5: Solve for x
    x = 495,994.37/835.35
  6. Step 6: Final answer
    x = 593.76

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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.