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Finding the Fourth Proportional to 835.23, 1,251.98 and 287.22

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Solution

The fourth proportional to 835.23, 1,251.98 and 287.22 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.23 : 1,251.98 = 287.22 : x
  2. Step 2: Convert to fraction form
    835.23/1,251.98 = 287.22/x
  3. Step 3: Cross multiply
    835.23x = 1,251.98 × 287.22
  4. Step 4: Simplify right side
    835.23x = 359,592.26
  5. Step 5: Solve for x
    x = 359,592.26/835.23
  6. Step 6: Final answer
    x = 430.53

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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.