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Finding the Fourth Proportional to 646.78, 892.52 and 352.03

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Solution

The fourth proportional to 646.78, 892.52 and 352.03 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.78 : 892.52 = 352.03 : x
  2. Step 2: Convert to fraction form
    646.78/892.52 = 352.03/x
  3. Step 3: Cross multiply
    646.78x = 892.52 × 352.03
  4. Step 4: Simplify right side
    646.78x = 314,189.35
  5. Step 5: Solve for x
    x = 314,189.35/646.78
  6. Step 6: Final answer
    x = 485.78

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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.