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Finding the Fourth Proportional to 911.21, 1,373.17 and 824.61

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Solution

The fourth proportional to 911.21, 1,373.17 and 824.61 is: 1,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.21 : 1,373.17 = 824.61 : x
  2. Step 2: Convert to fraction form
    911.21/1,373.17 = 824.61/x
  3. Step 3: Cross multiply
    911.21x = 1,373.17 × 824.61
  4. Step 4: Simplify right side
    911.21x = 1,132,327.65
  5. Step 5: Solve for x
    x = 1,132,327.65/911.21
  6. Step 6: Final answer
    x = 1,242.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.