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Finding the Fourth Proportional to 646.83, 892.40 and 367.07

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Solution

The fourth proportional to 646.83, 892.40 and 367.07 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.83 : 892.40 = 367.07 : x
  2. Step 2: Convert to fraction form
    646.83/892.40 = 367.07/x
  3. Step 3: Cross multiply
    646.83x = 892.40 × 367.07
  4. Step 4: Simplify right side
    646.83x = 327,566.97
  5. Step 5: Solve for x
    x = 327,566.97/646.83
  6. Step 6: Final answer
    x = 506.42

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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.