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Finding the Fourth Proportional to 835.43, 1,251.77 and 287.31

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Solution

The fourth proportional to 835.43, 1,251.77 and 287.31 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.43 : 1,251.77 = 287.31 : x
  2. Step 2: Convert to fraction form
    835.43/1,251.77 = 287.31/x
  3. Step 3: Cross multiply
    835.43x = 1,251.77 × 287.31
  4. Step 4: Simplify right side
    835.43x = 359,646.04
  5. Step 5: Solve for x
    x = 359,646.04/835.43
  6. Step 6: Final answer
    x = 430.49

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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.