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Finding the Fourth Proportional to 636.50, 952.86 and 347.06

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Solution

The fourth proportional to 636.50, 952.86 and 347.06 is: 519.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.50 : 952.86 = 347.06 : x
  2. Step 2: Convert to fraction form
    636.50/952.86 = 347.06/x
  3. Step 3: Cross multiply
    636.50x = 952.86 × 347.06
  4. Step 4: Simplify right side
    636.50x = 330,703.28
  5. Step 5: Solve for x
    x = 330,703.28/636.50
  6. Step 6: Final answer
    x = 519.56

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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.