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Finding the Fourth Proportional to 892.68, 1,230.75 and 577.39

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Solution

The fourth proportional to 892.68, 1,230.75 and 577.39 is: 796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,230.75 = 577.39 : x
  2. Step 2: Convert to fraction form
    892.68/1,230.75 = 577.39/x
  3. Step 3: Cross multiply
    892.68x = 1,230.75 × 577.39
  4. Step 4: Simplify right side
    892.68x = 710,626.45
  5. Step 5: Solve for x
    x = 710,626.45/892.68
  6. Step 6: Final answer
    x = 796.06

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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.