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Finding the Fourth Proportional to 651.75, 976.69 and 489.25

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Solution

The fourth proportional to 651.75, 976.69 and 489.25 is: 733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 976.69 = 489.25 : x
  2. Step 2: Convert to fraction form
    651.75/976.69 = 489.25/x
  3. Step 3: Cross multiply
    651.75x = 976.69 × 489.25
  4. Step 4: Simplify right side
    651.75x = 477,845.58
  5. Step 5: Solve for x
    x = 477,845.58/651.75
  6. Step 6: Final answer
    x = 733.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.