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Finding the Fourth Proportional to 764.05, 1,146.07 and 489.87

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Solution

The fourth proportional to 764.05, 1,146.07 and 489.87 is: 734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.05 : 1,146.07 = 489.87 : x
  2. Step 2: Convert to fraction form
    764.05/1,146.07 = 489.87/x
  3. Step 3: Cross multiply
    764.05x = 1,146.07 × 489.87
  4. Step 4: Simplify right side
    764.05x = 561,425.31
  5. Step 5: Solve for x
    x = 561,425.31/764.05
  6. Step 6: Final answer
    x = 734.80

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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.