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Finding the Fourth Proportional to 892.26, 1,230.32 and 577.50

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Solution

The fourth proportional to 892.26, 1,230.32 and 577.50 is: 796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.26 : 1,230.32 = 577.50 : x
  2. Step 2: Convert to fraction form
    892.26/1,230.32 = 577.50/x
  3. Step 3: Cross multiply
    892.26x = 1,230.32 × 577.50
  4. Step 4: Simplify right side
    892.26x = 710,509.80
  5. Step 5: Solve for x
    x = 710,509.80/892.26
  6. Step 6: Final answer
    x = 796.30

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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.