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Finding the Fourth Proportional to 495.19, 682.99 and 416.93

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Solution

The fourth proportional to 495.19, 682.99 and 416.93 is: 575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.19 : 682.99 = 416.93 : x
  2. Step 2: Convert to fraction form
    495.19/682.99 = 416.93/x
  3. Step 3: Cross multiply
    495.19x = 682.99 × 416.93
  4. Step 4: Simplify right side
    495.19x = 284,754.56
  5. Step 5: Solve for x
    x = 284,754.56/495.19
  6. Step 6: Final answer
    x = 575.04

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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.