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Finding the Fourth Proportional to 1,480, 2,217.99 and 821.84

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Solution

The fourth proportional to 1,480, 2,217.99 and 821.84 is: 1,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480 : 2,217.99 = 821.84 : x
  2. Step 2: Convert to fraction form
    1,480/2,217.99 = 821.84/x
  3. Step 3: Cross multiply
    1,480x = 2,217.99 × 821.84
  4. Step 4: Simplify right side
    1,480x = 1,822,832.90
  5. Step 5: Solve for x
    x = 1,822,832.90/1,480
  6. Step 6: Final answer
    x = 1,231.64

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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.