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Finding the Fourth Proportional to 1,454.74, 2,181.66 and 480.64

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Solution

The fourth proportional to 1,454.74, 2,181.66 and 480.64 is: 720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.74 : 2,181.66 = 480.64 : x
  2. Step 2: Convert to fraction form
    1,454.74/2,181.66 = 480.64/x
  3. Step 3: Cross multiply
    1,454.74x = 2,181.66 × 480.64
  4. Step 4: Simplify right side
    1,454.74x = 1,048,593.06
  5. Step 5: Solve for x
    x = 1,048,593.06/1,454.74
  6. Step 6: Final answer
    x = 720.81

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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.