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Finding the Fourth Proportional to 714.41, 1,067.19 and 517.85

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Solution

The fourth proportional to 714.41, 1,067.19 and 517.85 is: 773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.41 : 1,067.19 = 517.85 : x
  2. Step 2: Convert to fraction form
    714.41/1,067.19 = 517.85/x
  3. Step 3: Cross multiply
    714.41x = 1,067.19 × 517.85
  4. Step 4: Simplify right side
    714.41x = 552,644.34
  5. Step 5: Solve for x
    x = 552,644.34/714.41
  6. Step 6: Final answer
    x = 773.57

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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.