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Finding the Fourth Proportional to 635.61, 948.82 and 549.49

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Solution

The fourth proportional to 635.61, 948.82 and 549.49 is: 820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.61 : 948.82 = 549.49 : x
  2. Step 2: Convert to fraction form
    635.61/948.82 = 549.49/x
  3. Step 3: Cross multiply
    635.61x = 948.82 × 549.49
  4. Step 4: Simplify right side
    635.61x = 521,367.10
  5. Step 5: Solve for x
    x = 521,367.10/635.61
  6. Step 6: Final answer
    x = 820.26

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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.