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Finding the Fourth Proportional to 1,217.33, 1,825.84 and 486.35

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Solution

The fourth proportional to 1,217.33, 1,825.84 and 486.35 is: 729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.33 : 1,825.84 = 486.35 : x
  2. Step 2: Convert to fraction form
    1,217.33/1,825.84 = 486.35/x
  3. Step 3: Cross multiply
    1,217.33x = 1,825.84 × 486.35
  4. Step 4: Simplify right side
    1,217.33x = 888,005.88
  5. Step 5: Solve for x
    x = 888,005.88/1,217.33
  6. Step 6: Final answer
    x = 729.47

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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.