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Finding the Fourth Proportional to 445.25, 613.80 and 345.80

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Solution

The fourth proportional to 445.25, 613.80 and 345.80 is: 476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.25 : 613.80 = 345.80 : x
  2. Step 2: Convert to fraction form
    445.25/613.80 = 345.80/x
  3. Step 3: Cross multiply
    445.25x = 613.80 × 345.80
  4. Step 4: Simplify right side
    445.25x = 212,252.04
  5. Step 5: Solve for x
    x = 212,252.04/445.25
  6. Step 6: Final answer
    x = 476.70

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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.