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Finding the Fourth Proportional to 726.98, 998.02 and 627.35

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Solution

The fourth proportional to 726.98, 998.02 and 627.35 is: 861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.98 : 998.02 = 627.35 : x
  2. Step 2: Convert to fraction form
    726.98/998.02 = 627.35/x
  3. Step 3: Cross multiply
    726.98x = 998.02 × 627.35
  4. Step 4: Simplify right side
    726.98x = 626,103.64
  5. Step 5: Solve for x
    x = 626,103.64/726.98
  6. Step 6: Final answer
    x = 861.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.