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Finding the Fourth Proportional to 499.26, 689.02 and 289.52

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Solution

The fourth proportional to 499.26, 689.02 and 289.52 is: 399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.26 : 689.02 = 289.52 : x
  2. Step 2: Convert to fraction form
    499.26/689.02 = 289.52/x
  3. Step 3: Cross multiply
    499.26x = 689.02 × 289.52
  4. Step 4: Simplify right side
    499.26x = 199,485.07
  5. Step 5: Solve for x
    x = 199,485.07/499.26
  6. Step 6: Final answer
    x = 399.56

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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.