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Finding the Fourth Proportional to 603.72, 834.84 and 489.24

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Solution

The fourth proportional to 603.72, 834.84 and 489.24 is: 676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.72 : 834.84 = 489.24 : x
  2. Step 2: Convert to fraction form
    603.72/834.84 = 489.24/x
  3. Step 3: Cross multiply
    603.72x = 834.84 × 489.24
  4. Step 4: Simplify right side
    603.72x = 408,437.12
  5. Step 5: Solve for x
    x = 408,437.12/603.72
  6. Step 6: Final answer
    x = 676.53

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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.