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Finding the Fourth Proportional to 486.66, 725.24 and 484.22

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Solution

The fourth proportional to 486.66, 725.24 and 484.22 is: 721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.66 : 725.24 = 484.22 : x
  2. Step 2: Convert to fraction form
    486.66/725.24 = 484.22/x
  3. Step 3: Cross multiply
    486.66x = 725.24 × 484.22
  4. Step 4: Simplify right side
    486.66x = 351,175.71
  5. Step 5: Solve for x
    x = 351,175.71/486.66
  6. Step 6: Final answer
    x = 721.60

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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.