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Finding the Fourth Proportional to 633.03, 948.92 and 471.44

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Solution

The fourth proportional to 633.03, 948.92 and 471.44 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.03 : 948.92 = 471.44 : x
  2. Step 2: Convert to fraction form
    633.03/948.92 = 471.44/x
  3. Step 3: Cross multiply
    633.03x = 948.92 × 471.44
  4. Step 4: Simplify right side
    633.03x = 447,351.74
  5. Step 5: Solve for x
    x = 447,351.74/633.03
  6. Step 6: Final answer
    x = 706.68

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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.