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Finding the Fourth Proportional to 457.31, 684.93 and 320.96

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Solution

The fourth proportional to 457.31, 684.93 and 320.96 is: 480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 684.93 = 320.96 : x
  2. Step 2: Convert to fraction form
    457.31/684.93 = 320.96/x
  3. Step 3: Cross multiply
    457.31x = 684.93 × 320.96
  4. Step 4: Simplify right side
    457.31x = 219,835.13
  5. Step 5: Solve for x
    x = 219,835.13/457.31
  6. Step 6: Final answer
    x = 480.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.