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Finding the Fourth Proportional to 635.20, 948.22 and 542.25

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Solution

The fourth proportional to 635.20, 948.22 and 542.25 is: 809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.20 : 948.22 = 542.25 : x
  2. Step 2: Convert to fraction form
    635.20/948.22 = 542.25/x
  3. Step 3: Cross multiply
    635.20x = 948.22 × 542.25
  4. Step 4: Simplify right side
    635.20x = 514,170.94
  5. Step 5: Solve for x
    x = 514,170.94/635.20
  6. Step 6: Final answer
    x = 809.47

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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.