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Finding the Fourth Proportional to 495.90, 683.67 and 364.68

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Solution

The fourth proportional to 495.90, 683.67 and 364.68 is: 502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 683.67 = 364.68 : x
  2. Step 2: Convert to fraction form
    495.90/683.67 = 364.68/x
  3. Step 3: Cross multiply
    495.90x = 683.67 × 364.68
  4. Step 4: Simplify right side
    495.90x = 249,320.78
  5. Step 5: Solve for x
    x = 249,320.78/495.90
  6. Step 6: Final answer
    x = 502.76

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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.