Home / 1,522.16-2,282.22-548.13

Finding the Fourth Proportional to 1,522.16, 2,282.22 and 548.13

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Solution

The fourth proportional to 1,522.16, 2,282.22 and 548.13 is: 821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.16 : 2,282.22 = 548.13 : x
  2. Step 2: Convert to fraction form
    1,522.16/2,282.22 = 548.13/x
  3. Step 3: Cross multiply
    1,522.16x = 2,282.22 × 548.13
  4. Step 4: Simplify right side
    1,522.16x = 1,250,961.81
  5. Step 5: Solve for x
    x = 1,250,961.81/1,522.16
  6. Step 6: Final answer
    x = 821.83

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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.