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Finding the Fourth Proportional to 499.69, 689.73 and 289.92

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Solution

The fourth proportional to 499.69, 689.73 and 289.92 is: 400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 689.73 = 289.92 : x
  2. Step 2: Convert to fraction form
    499.69/689.73 = 289.92/x
  3. Step 3: Cross multiply
    499.69x = 689.73 × 289.92
  4. Step 4: Simplify right side
    499.69x = 199,964.14
  5. Step 5: Solve for x
    x = 199,964.14/499.69
  6. Step 6: Final answer
    x = 400.18

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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.