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Finding the Fourth Proportional to 457.82, 632.01 and 310.69

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Solution

The fourth proportional to 457.82, 632.01 and 310.69 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 632.01 = 310.69 : x
  2. Step 2: Convert to fraction form
    457.82/632.01 = 310.69/x
  3. Step 3: Cross multiply
    457.82x = 632.01 × 310.69
  4. Step 4: Simplify right side
    457.82x = 196,359.19
  5. Step 5: Solve for x
    x = 196,359.19/457.82
  6. Step 6: Final answer
    x = 428.90

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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.