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Finding the Fourth Proportional to 726.84, 998.16 and 621.93

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Solution

The fourth proportional to 726.84, 998.16 and 621.93 is: 854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.84 : 998.16 = 621.93 : x
  2. Step 2: Convert to fraction form
    726.84/998.16 = 621.93/x
  3. Step 3: Cross multiply
    726.84x = 998.16 × 621.93
  4. Step 4: Simplify right side
    726.84x = 620,784.07
  5. Step 5: Solve for x
    x = 620,784.07/726.84
  6. Step 6: Final answer
    x = 854.09

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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.