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Finding the Fourth Proportional to 457.94, 683.31 and 408.84

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Solution

The fourth proportional to 457.94, 683.31 and 408.84 is: 610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.94 : 683.31 = 408.84 : x
  2. Step 2: Convert to fraction form
    457.94/683.31 = 408.84/x
  3. Step 3: Cross multiply
    457.94x = 683.31 × 408.84
  4. Step 4: Simplify right side
    457.94x = 279,364.46
  5. Step 5: Solve for x
    x = 279,364.46/457.94
  6. Step 6: Final answer
    x = 610.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.