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Finding the Fourth Proportional to 499.88, 688.64 and 406.37

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Solution

The fourth proportional to 499.88, 688.64 and 406.37 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.88 : 688.64 = 406.37 : x
  2. Step 2: Convert to fraction form
    499.88/688.64 = 406.37/x
  3. Step 3: Cross multiply
    499.88x = 688.64 × 406.37
  4. Step 4: Simplify right side
    499.88x = 279,837.16
  5. Step 5: Solve for x
    x = 279,837.16/499.88
  6. Step 6: Final answer
    x = 559.81

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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.