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Finding the Fourth Proportional to 418.96, 630.64 and 382.04

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Solution

The fourth proportional to 418.96, 630.64 and 382.04 is: 575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.96 : 630.64 = 382.04 : x
  2. Step 2: Convert to fraction form
    418.96/630.64 = 382.04/x
  3. Step 3: Cross multiply
    418.96x = 630.64 × 382.04
  4. Step 4: Simplify right side
    418.96x = 240,927.80
  5. Step 5: Solve for x
    x = 240,927.80/418.96
  6. Step 6: Final answer
    x = 575.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.