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Finding the Fourth Proportional to 646.96, 892.81 and 352.23

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Solution

The fourth proportional to 646.96, 892.81 and 352.23 is: 486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.96 : 892.81 = 352.23 : x
  2. Step 2: Convert to fraction form
    646.96/892.81 = 352.23/x
  3. Step 3: Cross multiply
    646.96x = 892.81 × 352.23
  4. Step 4: Simplify right side
    646.96x = 314,477.57
  5. Step 5: Solve for x
    x = 314,477.57/646.96
  6. Step 6: Final answer
    x = 486.08

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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.