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Finding the Fourth Proportional to 499.43, 689.23 and 289.61

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Solution

The fourth proportional to 499.43, 689.23 and 289.61 is: 399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.43 : 689.23 = 289.61 : x
  2. Step 2: Convert to fraction form
    499.43/689.23 = 289.61/x
  3. Step 3: Cross multiply
    499.43x = 689.23 × 289.61
  4. Step 4: Simplify right side
    499.43x = 199,607.90
  5. Step 5: Solve for x
    x = 199,607.90/499.43
  6. Step 6: Final answer
    x = 399.67

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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.