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Finding the Fourth Proportional to 495.67, 683.73 and 309.31

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Solution

The fourth proportional to 495.67, 683.73 and 309.31 is: 426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.67 : 683.73 = 309.31 : x
  2. Step 2: Convert to fraction form
    495.67/683.73 = 309.31/x
  3. Step 3: Cross multiply
    495.67x = 683.73 × 309.31
  4. Step 4: Simplify right side
    495.67x = 211,484.53
  5. Step 5: Solve for x
    x = 211,484.53/495.67
  6. Step 6: Final answer
    x = 426.66

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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.