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Finding the Fourth Proportional to 839.60, 1,157.90 and 573.92

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Solution

The fourth proportional to 839.60, 1,157.90 and 573.92 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.60 : 1,157.90 = 573.92 : x
  2. Step 2: Convert to fraction form
    839.60/1,157.90 = 573.92/x
  3. Step 3: Cross multiply
    839.60x = 1,157.90 × 573.92
  4. Step 4: Simplify right side
    839.60x = 664,533.31
  5. Step 5: Solve for x
    x = 664,533.31/839.60
  6. Step 6: Final answer
    x = 791.49

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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.