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Finding the Fourth Proportional to 835.22, 1,253.00 and 287.27

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Solution

The fourth proportional to 835.22, 1,253.00 and 287.27 is: 430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.22 : 1,253.00 = 287.27 : x
  2. Step 2: Convert to fraction form
    835.22/1,253.00 = 287.27/x
  3. Step 3: Cross multiply
    835.22x = 1,253.00 × 287.27
  4. Step 4: Simplify right side
    835.22x = 359,941.61
  5. Step 5: Solve for x
    x = 359,941.61/835.22
  6. Step 6: Final answer
    x = 430.96

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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.