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Finding the Fourth Proportional to 835.35, 1,253.31 and 402.21

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Solution

The fourth proportional to 835.35, 1,253.31 and 402.21 is: 603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.35 : 1,253.31 = 402.21 : x
  2. Step 2: Convert to fraction form
    835.35/1,253.31 = 402.21/x
  3. Step 3: Cross multiply
    835.35x = 1,253.31 × 402.21
  4. Step 4: Simplify right side
    835.35x = 504,093.82
  5. Step 5: Solve for x
    x = 504,093.82/835.35
  6. Step 6: Final answer
    x = 603.45

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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.