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Finding the Fourth Proportional to 479.19, 720.69 and 406.29

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Solution

The fourth proportional to 479.19, 720.69 and 406.29 is: 611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.19 : 720.69 = 406.29 : x
  2. Step 2: Convert to fraction form
    479.19/720.69 = 406.29/x
  3. Step 3: Cross multiply
    479.19x = 720.69 × 406.29
  4. Step 4: Simplify right side
    479.19x = 292,809.14
  5. Step 5: Solve for x
    x = 292,809.14/479.19
  6. Step 6: Final answer
    x = 611.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.