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Finding the Fourth Proportional to 835.77, 1,153.45 and 481.71

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Solution

The fourth proportional to 835.77, 1,153.45 and 481.71 is: 664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.77 : 1,153.45 = 481.71 : x
  2. Step 2: Convert to fraction form
    835.77/1,153.45 = 481.71/x
  3. Step 3: Cross multiply
    835.77x = 1,153.45 × 481.71
  4. Step 4: Simplify right side
    835.77x = 555,628.40
  5. Step 5: Solve for x
    x = 555,628.40/835.77
  6. Step 6: Final answer
    x = 664.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.