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Finding the Fourth Proportional to 677.43, 1,014.42 and 416.65

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Solution

The fourth proportional to 677.43, 1,014.42 and 416.65 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.43 : 1,014.42 = 416.65 : x
  2. Step 2: Convert to fraction form
    677.43/1,014.42 = 416.65/x
  3. Step 3: Cross multiply
    677.43x = 1,014.42 × 416.65
  4. Step 4: Simplify right side
    677.43x = 422,658.09
  5. Step 5: Solve for x
    x = 422,658.09/677.43
  6. Step 6: Final answer
    x = 623.91

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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.