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Finding the Fourth Proportional to 839.37, 1,157.72 and 577.47

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Solution

The fourth proportional to 839.37, 1,157.72 and 577.47 is: 796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.37 : 1,157.72 = 577.47 : x
  2. Step 2: Convert to fraction form
    839.37/1,157.72 = 577.47/x
  3. Step 3: Cross multiply
    839.37x = 1,157.72 × 577.47
  4. Step 4: Simplify right side
    839.37x = 668,545.68
  5. Step 5: Solve for x
    x = 668,545.68/839.37
  6. Step 6: Final answer
    x = 796.49

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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.