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Finding the Fourth Proportional to 499.78, 687.22 and 484.40

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Solution

The fourth proportional to 499.78, 687.22 and 484.40 is: 666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.78 : 687.22 = 484.40 : x
  2. Step 2: Convert to fraction form
    499.78/687.22 = 484.40/x
  3. Step 3: Cross multiply
    499.78x = 687.22 × 484.40
  4. Step 4: Simplify right side
    499.78x = 332,889.37
  5. Step 5: Solve for x
    x = 332,889.37/499.78
  6. Step 6: Final answer
    x = 666.07

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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.