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Finding the Fourth Proportional to 499.36, 684.80 and 495.52

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Solution

The fourth proportional to 499.36, 684.80 and 495.52 is: 679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.36 : 684.80 = 495.52 : x
  2. Step 2: Convert to fraction form
    499.36/684.80 = 495.52/x
  3. Step 3: Cross multiply
    499.36x = 684.80 × 495.52
  4. Step 4: Simplify right side
    499.36x = 339,332.10
  5. Step 5: Solve for x
    x = 339,332.10/499.36
  6. Step 6: Final answer
    x = 679.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.