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Finding the Fourth Proportional to 456.30, 626.94 and 382.05

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Solution

The fourth proportional to 456.30, 626.94 and 382.05 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 626.94 = 382.05 : x
  2. Step 2: Convert to fraction form
    456.30/626.94 = 382.05/x
  3. Step 3: Cross multiply
    456.30x = 626.94 × 382.05
  4. Step 4: Simplify right side
    456.30x = 239,522.43
  5. Step 5: Solve for x
    x = 239,522.43/456.30
  6. Step 6: Final answer
    x = 524.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.