Home / 1,522.28-2,283.16-548.24

Finding the Fourth Proportional to 1,522.28, 2,283.16 and 548.24

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Solution

The fourth proportional to 1,522.28, 2,283.16 and 548.24 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.28 : 2,283.16 = 548.24 : x
  2. Step 2: Convert to fraction form
    1,522.28/2,283.16 = 548.24/x
  3. Step 3: Cross multiply
    1,522.28x = 2,283.16 × 548.24
  4. Step 4: Simplify right side
    1,522.28x = 1,251,719.64
  5. Step 5: Solve for x
    x = 1,251,719.64/1,522.28
  6. Step 6: Final answer
    x = 822.27

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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.