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Finding the Fourth Proportional to 646.26, 963.85 and 549.38

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Solution

The fourth proportional to 646.26, 963.85 and 549.38 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.26 : 963.85 = 549.38 : x
  2. Step 2: Convert to fraction form
    646.26/963.85 = 549.38/x
  3. Step 3: Cross multiply
    646.26x = 963.85 × 549.38
  4. Step 4: Simplify right side
    646.26x = 529,519.91
  5. Step 5: Solve for x
    x = 529,519.91/646.26
  6. Step 6: Final answer
    x = 819.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.