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Finding the Fourth Proportional to 646.16, 891.71 and 351.43

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Solution

The fourth proportional to 646.16, 891.71 and 351.43 is: 484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 891.71 = 351.43 : x
  2. Step 2: Convert to fraction form
    646.16/891.71 = 351.43/x
  3. Step 3: Cross multiply
    646.16x = 891.71 × 351.43
  4. Step 4: Simplify right side
    646.16x = 313,369.72
  5. Step 5: Solve for x
    x = 313,369.72/646.16
  6. Step 6: Final answer
    x = 484.97

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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.