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Finding the Fourth Proportional to 636.24, 953.55 and 405.05

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Solution

The fourth proportional to 636.24, 953.55 and 405.05 is: 607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.24 : 953.55 = 405.05 : x
  2. Step 2: Convert to fraction form
    636.24/953.55 = 405.05/x
  3. Step 3: Cross multiply
    636.24x = 953.55 × 405.05
  4. Step 4: Simplify right side
    636.24x = 386,234.88
  5. Step 5: Solve for x
    x = 386,234.88/636.24
  6. Step 6: Final answer
    x = 607.06

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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.