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Finding the Fourth Proportional to 456.69, 628.74 and 382.89

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Solution

The fourth proportional to 456.69, 628.74 and 382.89 is: 527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.69 : 628.74 = 382.89 : x
  2. Step 2: Convert to fraction form
    456.69/628.74 = 382.89/x
  3. Step 3: Cross multiply
    456.69x = 628.74 × 382.89
  4. Step 4: Simplify right side
    456.69x = 240,738.26
  5. Step 5: Solve for x
    x = 240,738.26/456.69
  6. Step 6: Final answer
    x = 527.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.