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Finding the Fourth Proportional to 457.65, 683.37 and 416.61

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Solution

The fourth proportional to 457.65, 683.37 and 416.61 is: 622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 683.37 = 416.61 : x
  2. Step 2: Convert to fraction form
    457.65/683.37 = 416.61/x
  3. Step 3: Cross multiply
    457.65x = 683.37 × 416.61
  4. Step 4: Simplify right side
    457.65x = 284,698.78
  5. Step 5: Solve for x
    x = 284,698.78/457.65
  6. Step 6: Final answer
    x = 622.09

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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.