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Finding the Fourth Proportional to 457.30, 629.13 and 379.54

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Solution

The fourth proportional to 457.30, 629.13 and 379.54 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.30 : 629.13 = 379.54 : x
  2. Step 2: Convert to fraction form
    457.30/629.13 = 379.54/x
  3. Step 3: Cross multiply
    457.30x = 629.13 × 379.54
  4. Step 4: Simplify right side
    457.30x = 238,780.00
  5. Step 5: Solve for x
    x = 238,780.00/457.30
  6. Step 6: Final answer
    x = 522.15

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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.