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Finding the Fourth Proportional to 892.86, 1,232.48 and 561.38

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Solution

The fourth proportional to 892.86, 1,232.48 and 561.38 is: 774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.86 : 1,232.48 = 561.38 : x
  2. Step 2: Convert to fraction form
    892.86/1,232.48 = 561.38/x
  3. Step 3: Cross multiply
    892.86x = 1,232.48 × 561.38
  4. Step 4: Simplify right side
    892.86x = 691,889.62
  5. Step 5: Solve for x
    x = 691,889.62/892.86
  6. Step 6: Final answer
    x = 774.91

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1.5x scale

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.