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Finding the Fourth Proportional to 636.68, 955.37 and 312.05

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Solution

The fourth proportional to 636.68, 955.37 and 312.05 is: 468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.68 : 955.37 = 312.05 : x
  2. Step 2: Convert to fraction form
    636.68/955.37 = 312.05/x
  3. Step 3: Cross multiply
    636.68x = 955.37 × 312.05
  4. Step 4: Simplify right side
    636.68x = 298,116.87
  5. Step 5: Solve for x
    x = 298,116.87/636.68
  6. Step 6: Final answer
    x = 468.24

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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.