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Finding the Fourth Proportional to 455.86, 629.96 and 345.14

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Solution

The fourth proportional to 455.86, 629.96 and 345.14 is: 476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 629.96 = 345.14 : x
  2. Step 2: Convert to fraction form
    455.86/629.96 = 345.14/x
  3. Step 3: Cross multiply
    455.86x = 629.96 × 345.14
  4. Step 4: Simplify right side
    455.86x = 217,424.39
  5. Step 5: Solve for x
    x = 217,424.39/455.86
  6. Step 6: Final answer
    x = 476.95

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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.