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Finding the Fourth Proportional to 892.42, 1,232.51 and 613.39

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Solution

The fourth proportional to 892.42, 1,232.51 and 613.39 is: 847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.42 : 1,232.51 = 613.39 : x
  2. Step 2: Convert to fraction form
    892.42/1,232.51 = 613.39/x
  3. Step 3: Cross multiply
    892.42x = 1,232.51 × 613.39
  4. Step 4: Simplify right side
    892.42x = 756,006.24
  5. Step 5: Solve for x
    x = 756,006.24/892.42
  6. Step 6: Final answer
    x = 847.14

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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.