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Finding the Fourth Proportional to 1,454.71, 2,181.85 and 480.69

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Solution

The fourth proportional to 1,454.71, 2,181.85 and 480.69 is: 720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.71 : 2,181.85 = 480.69 : x
  2. Step 2: Convert to fraction form
    1,454.71/2,181.85 = 480.69/x
  3. Step 3: Cross multiply
    1,454.71x = 2,181.85 × 480.69
  4. Step 4: Simplify right side
    1,454.71x = 1,048,793.48
  5. Step 5: Solve for x
    x = 1,048,793.48/1,454.71
  6. Step 6: Final answer
    x = 720.96

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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.