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Finding the Fourth Proportional to 838.29, 1,157.73 and 573.96

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Solution

The fourth proportional to 838.29, 1,157.73 and 573.96 is: 792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.29 : 1,157.73 = 573.96 : x
  2. Step 2: Convert to fraction form
    838.29/1,157.73 = 573.96/x
  3. Step 3: Cross multiply
    838.29x = 1,157.73 × 573.96
  4. Step 4: Simplify right side
    838.29x = 664,490.71
  5. Step 5: Solve for x
    x = 664,490.71/838.29
  6. Step 6: Final answer
    x = 792.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.