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Finding the Fourth Proportional to 457.53, 631.71 and 310.29

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Solution

The fourth proportional to 457.53, 631.71 and 310.29 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.53 : 631.71 = 310.29 : x
  2. Step 2: Convert to fraction form
    457.53/631.71 = 310.29/x
  3. Step 3: Cross multiply
    457.53x = 631.71 × 310.29
  4. Step 4: Simplify right side
    457.53x = 196,013.30
  5. Step 5: Solve for x
    x = 196,013.30/457.53
  6. Step 6: Final answer
    x = 428.42

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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.