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Finding the Fourth Proportional to 724.19, 997.83 and 490.91

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Solution

The fourth proportional to 724.19, 997.83 and 490.91 is: 676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.19 : 997.83 = 490.91 : x
  2. Step 2: Convert to fraction form
    724.19/997.83 = 490.91/x
  3. Step 3: Cross multiply
    724.19x = 997.83 × 490.91
  4. Step 4: Simplify right side
    724.19x = 489,839.74
  5. Step 5: Solve for x
    x = 489,839.74/724.19
  6. Step 6: Final answer
    x = 676.40

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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.