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Finding the Fourth Proportional to 479.97, 716.49 and 446.22

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Solution

The fourth proportional to 479.97, 716.49 and 446.22 is: 666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.97 : 716.49 = 446.22 : x
  2. Step 2: Convert to fraction form
    479.97/716.49 = 446.22/x
  3. Step 3: Cross multiply
    479.97x = 716.49 × 446.22
  4. Step 4: Simplify right side
    479.97x = 319,712.17
  5. Step 5: Solve for x
    x = 319,712.17/479.97
  6. Step 6: Final answer
    x = 666.11

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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.