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Finding the Fourth Proportional to 636.48, 953.76 and 419.28

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Solution

The fourth proportional to 636.48, 953.76 and 419.28 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.48 : 953.76 = 419.28 : x
  2. Step 2: Convert to fraction form
    636.48/953.76 = 419.28/x
  3. Step 3: Cross multiply
    636.48x = 953.76 × 419.28
  4. Step 4: Simplify right side
    636.48x = 399,892.49
  5. Step 5: Solve for x
    x = 399,892.49/636.48
  6. Step 6: Final answer
    x = 628.29

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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.