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Finding the Fourth Proportional to 457.28, 629.12 and 446.40

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Solution

The fourth proportional to 457.28, 629.12 and 446.40 is: 614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.28 : 629.12 = 446.40 : x
  2. Step 2: Convert to fraction form
    457.28/629.12 = 446.40/x
  3. Step 3: Cross multiply
    457.28x = 629.12 × 446.40
  4. Step 4: Simplify right side
    457.28x = 280,839.17
  5. Step 5: Solve for x
    x = 280,839.17/457.28
  6. Step 6: Final answer
    x = 614.15

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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.