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Finding the Fourth Proportional to 835.74, 1,152.90 and 573.84

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Solution

The fourth proportional to 835.74, 1,152.90 and 573.84 is: 791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.74 : 1,152.90 = 573.84 : x
  2. Step 2: Convert to fraction form
    835.74/1,152.90 = 573.84/x
  3. Step 3: Cross multiply
    835.74x = 1,152.90 × 573.84
  4. Step 4: Simplify right side
    835.74x = 661,580.14
  5. Step 5: Solve for x
    x = 661,580.14/835.74
  6. Step 6: Final answer
    x = 791.61

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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.