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Finding the Fourth Proportional to 479.94, 721.74 and 407.04

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Solution

The fourth proportional to 479.94, 721.74 and 407.04 is: 612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 721.74 = 407.04 : x
  2. Step 2: Convert to fraction form
    479.94/721.74 = 407.04/x
  3. Step 3: Cross multiply
    479.94x = 721.74 × 407.04
  4. Step 4: Simplify right side
    479.94x = 293,777.05
  5. Step 5: Solve for x
    x = 293,777.05/479.94
  6. Step 6: Final answer
    x = 612.11

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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.