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Finding the Fourth Proportional to 634.89, 952.64 and 472.89

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Solution

The fourth proportional to 634.89, 952.64 and 472.89 is: 709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.89 : 952.64 = 472.89 : x
  2. Step 2: Convert to fraction form
    634.89/952.64 = 472.89/x
  3. Step 3: Cross multiply
    634.89x = 952.64 × 472.89
  4. Step 4: Simplify right side
    634.89x = 450,493.93
  5. Step 5: Solve for x
    x = 450,493.93/634.89
  6. Step 6: Final answer
    x = 709.56

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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.