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Finding the Fourth Proportional to 1,217.65, 1,825.80 and 486.40

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Solution

The fourth proportional to 1,217.65, 1,825.80 and 486.40 is: 729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.65 : 1,825.80 = 486.40 : x
  2. Step 2: Convert to fraction form
    1,217.65/1,825.80 = 486.40/x
  3. Step 3: Cross multiply
    1,217.65x = 1,825.80 × 486.40
  4. Step 4: Simplify right side
    1,217.65x = 888,069.12
  5. Step 5: Solve for x
    x = 888,069.12/1,217.65
  6. Step 6: Final answer
    x = 729.33

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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.