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Finding the Fourth Proportional to 504.54, 755.64 and 489.96

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Solution

The fourth proportional to 504.54, 755.64 and 489.96 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.54 : 755.64 = 489.96 : x
  2. Step 2: Convert to fraction form
    504.54/755.64 = 489.96/x
  3. Step 3: Cross multiply
    504.54x = 755.64 × 489.96
  4. Step 4: Simplify right side
    504.54x = 370,233.37
  5. Step 5: Solve for x
    x = 370,233.37/504.54
  6. Step 6: Final answer
    x = 733.80

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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.