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Finding the Fourth Proportional to 636.24, 953.10 and 419.88

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Solution

The fourth proportional to 636.24, 953.10 and 419.88 is: 628.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.24 : 953.10 = 419.88 : x
  2. Step 2: Convert to fraction form
    636.24/953.10 = 419.88/x
  3. Step 3: Cross multiply
    636.24x = 953.10 × 419.88
  4. Step 4: Simplify right side
    636.24x = 400,187.63
  5. Step 5: Solve for x
    x = 400,187.63/636.24
  6. Step 6: Final answer
    x = 628.99

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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.