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Finding the Fourth Proportional to 646.82, 891.56 and 514.58

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Solution

The fourth proportional to 646.82, 891.56 and 514.58 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 891.56 = 514.58 : x
  2. Step 2: Convert to fraction form
    646.82/891.56 = 514.58/x
  3. Step 3: Cross multiply
    646.82x = 891.56 × 514.58
  4. Step 4: Simplify right side
    646.82x = 458,778.94
  5. Step 5: Solve for x
    x = 458,778.94/646.82
  6. Step 6: Final answer
    x = 709.28

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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.