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Finding the Fourth Proportional to 489.34, 728.83 and 486.99

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Solution

The fourth proportional to 489.34, 728.83 and 486.99 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.34 : 728.83 = 486.99 : x
  2. Step 2: Convert to fraction form
    489.34/728.83 = 486.99/x
  3. Step 3: Cross multiply
    489.34x = 728.83 × 486.99
  4. Step 4: Simplify right side
    489.34x = 354,932.92
  5. Step 5: Solve for x
    x = 354,932.92/489.34
  6. Step 6: Final answer
    x = 725.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.