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Finding the Fourth Proportional to 981.84, 1,469.91 and 764.76

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Solution

The fourth proportional to 981.84, 1,469.91 and 764.76 is: 1,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.84 : 1,469.91 = 764.76 : x
  2. Step 2: Convert to fraction form
    981.84/1,469.91 = 764.76/x
  3. Step 3: Cross multiply
    981.84x = 1,469.91 × 764.76
  4. Step 4: Simplify right side
    981.84x = 1,124,128.37
  5. Step 5: Solve for x
    x = 1,124,128.37/981.84
  6. Step 6: Final answer
    x = 1,144.92

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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.