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Finding the Fourth Proportional to 479.77, 661.82 and 322.13

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Solution

The fourth proportional to 479.77, 661.82 and 322.13 is: 444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.77 : 661.82 = 322.13 : x
  2. Step 2: Convert to fraction form
    479.77/661.82 = 322.13/x
  3. Step 3: Cross multiply
    479.77x = 661.82 × 322.13
  4. Step 4: Simplify right side
    479.77x = 213,193.33
  5. Step 5: Solve for x
    x = 213,193.33/479.77
  6. Step 6: Final answer
    x = 444.37

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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.