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Finding the Fourth Proportional to 823.76, 1,236.45 and 458.81

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Solution

The fourth proportional to 823.76, 1,236.45 and 458.81 is: 688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.76 : 1,236.45 = 458.81 : x
  2. Step 2: Convert to fraction form
    823.76/1,236.45 = 458.81/x
  3. Step 3: Cross multiply
    823.76x = 1,236.45 × 458.81
  4. Step 4: Simplify right side
    823.76x = 567,295.62
  5. Step 5: Solve for x
    x = 567,295.62/823.76
  6. Step 6: Final answer
    x = 688.67

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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.