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Finding the Fourth Proportional to 633.80, 948.26 and 472.20

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Solution

The fourth proportional to 633.80, 948.26 and 472.20 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 948.26 = 472.20 : x
  2. Step 2: Convert to fraction form
    633.80/948.26 = 472.20/x
  3. Step 3: Cross multiply
    633.80x = 948.26 × 472.20
  4. Step 4: Simplify right side
    633.80x = 447,768.37
  5. Step 5: Solve for x
    x = 447,768.37/633.80
  6. Step 6: Final answer
    x = 706.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.