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Finding the Fourth Proportional to 499.05, 688.76 and 289.24

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Solution

The fourth proportional to 499.05, 688.76 and 289.24 is: 399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.05 : 688.76 = 289.24 : x
  2. Step 2: Convert to fraction form
    499.05/688.76 = 289.24/x
  3. Step 3: Cross multiply
    499.05x = 688.76 × 289.24
  4. Step 4: Simplify right side
    499.05x = 199,216.94
  5. Step 5: Solve for x
    x = 199,216.94/499.05
  6. Step 6: Final answer
    x = 399.19

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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.