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Finding the Fourth Proportional to 499.73, 689.60 and 289.76

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Solution

The fourth proportional to 499.73, 689.60 and 289.76 is: 399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.73 : 689.60 = 289.76 : x
  2. Step 2: Convert to fraction form
    499.73/689.60 = 289.76/x
  3. Step 3: Cross multiply
    499.73x = 689.60 × 289.76
  4. Step 4: Simplify right side
    499.73x = 199,820.94
  5. Step 5: Solve for x
    x = 199,820.94/499.73
  6. Step 6: Final answer
    x = 399.86

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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.