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Finding the Fourth Proportional to 677.14, 1,014.40 and 416.38

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Solution

The fourth proportional to 677.14, 1,014.40 and 416.38 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.14 : 1,014.40 = 416.38 : x
  2. Step 2: Convert to fraction form
    677.14/1,014.40 = 416.38/x
  3. Step 3: Cross multiply
    677.14x = 1,014.40 × 416.38
  4. Step 4: Simplify right side
    677.14x = 422,375.87
  5. Step 5: Solve for x
    x = 422,375.87/677.14
  6. Step 6: Final answer
    x = 623.76

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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.