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Finding the Fourth Proportional to 457.81, 682.57 and 416.34

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Solution

The fourth proportional to 457.81, 682.57 and 416.34 is: 620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.81 : 682.57 = 416.34 : x
  2. Step 2: Convert to fraction form
    457.81/682.57 = 416.34/x
  3. Step 3: Cross multiply
    457.81x = 682.57 × 416.34
  4. Step 4: Simplify right side
    457.81x = 284,181.19
  5. Step 5: Solve for x
    x = 284,181.19/457.81
  6. Step 6: Final answer
    x = 620.74

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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.