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Finding the Fourth Proportional to 479.43, 716.09 and 414.63

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Solution

The fourth proportional to 479.43, 716.09 and 414.63 is: 619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.43 : 716.09 = 414.63 : x
  2. Step 2: Convert to fraction form
    479.43/716.09 = 414.63/x
  3. Step 3: Cross multiply
    479.43x = 716.09 × 414.63
  4. Step 4: Simplify right side
    479.43x = 296,910.32
  5. Step 5: Solve for x
    x = 296,910.32/479.43
  6. Step 6: Final answer
    x = 619.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.