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Finding the Fourth Proportional to 1,455, 2,182.08 and 480.84

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Solution

The fourth proportional to 1,455, 2,182.08 and 480.84 is: 721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455 : 2,182.08 = 480.84 : x
  2. Step 2: Convert to fraction form
    1,455/2,182.08 = 480.84/x
  3. Step 3: Cross multiply
    1,455x = 2,182.08 × 480.84
  4. Step 4: Simplify right side
    1,455x = 1,049,231.35
  5. Step 5: Solve for x
    x = 1,049,231.35/1,455
  6. Step 6: Final answer
    x = 721.12

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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.