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Finding the Fourth Proportional to 633.80, 949.48 and 472.20

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Solution

The fourth proportional to 633.80, 949.48 and 472.20 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 949.48 = 472.20 : x
  2. Step 2: Convert to fraction form
    633.80/949.48 = 472.20/x
  3. Step 3: Cross multiply
    633.80x = 949.48 × 472.20
  4. Step 4: Simplify right side
    633.80x = 448,344.46
  5. Step 5: Solve for x
    x = 448,344.46/633.80
  6. Step 6: Final answer
    x = 707.39

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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.