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Finding the Fourth Proportional to 714.97, 986.49 and 452.83

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Solution

The fourth proportional to 714.97, 986.49 and 452.83 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.97 : 986.49 = 452.83 : x
  2. Step 2: Convert to fraction form
    714.97/986.49 = 452.83/x
  3. Step 3: Cross multiply
    714.97x = 986.49 × 452.83
  4. Step 4: Simplify right side
    714.97x = 446,712.27
  5. Step 5: Solve for x
    x = 446,712.27/714.97
  6. Step 6: Final answer
    x = 624.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.