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Finding the Fourth Proportional to 677.90, 1,014.28 and 414.43

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Solution

The fourth proportional to 677.90, 1,014.28 and 414.43 is: 620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 1,014.28 = 414.43 : x
  2. Step 2: Convert to fraction form
    677.90/1,014.28 = 414.43/x
  3. Step 3: Cross multiply
    677.90x = 1,014.28 × 414.43
  4. Step 4: Simplify right side
    677.90x = 420,348.06
  5. Step 5: Solve for x
    x = 420,348.06/677.90
  6. Step 6: Final answer
    x = 620.07

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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.