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Finding the Fourth Proportional to 723.03, 997.02 and 489.75

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Solution

The fourth proportional to 723.03, 997.02 and 489.75 is: 675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.03 : 997.02 = 489.75 : x
  2. Step 2: Convert to fraction form
    723.03/997.02 = 489.75/x
  3. Step 3: Cross multiply
    723.03x = 997.02 × 489.75
  4. Step 4: Simplify right side
    723.03x = 488,290.55
  5. Step 5: Solve for x
    x = 488,290.55/723.03
  6. Step 6: Final answer
    x = 675.34

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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.