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Finding the Fourth Proportional to 499.57, 684.91 and 495.32

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Solution

The fourth proportional to 499.57, 684.91 and 495.32 is: 679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.57 : 684.91 = 495.32 : x
  2. Step 2: Convert to fraction form
    499.57/684.91 = 495.32/x
  3. Step 3: Cross multiply
    499.57x = 684.91 × 495.32
  4. Step 4: Simplify right side
    499.57x = 339,244.03
  5. Step 5: Solve for x
    x = 339,244.03/499.57
  6. Step 6: Final answer
    x = 679.08

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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.