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Finding the Fourth Proportional to 495.99, 683.99 and 296.79

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Solution

The fourth proportional to 495.99, 683.99 and 296.79 is: 409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 683.99 = 296.79 : x
  2. Step 2: Convert to fraction form
    495.99/683.99 = 296.79/x
  3. Step 3: Cross multiply
    495.99x = 683.99 × 296.79
  4. Step 4: Simplify right side
    495.99x = 203,002.05
  5. Step 5: Solve for x
    x = 203,002.05/495.99
  6. Step 6: Final answer
    x = 409.28

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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.