Home / 1,522.14-2,283.44-548.47

Finding the Fourth Proportional to 1,522.14, 2,283.44 and 548.47

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Solution

The fourth proportional to 1,522.14, 2,283.44 and 548.47 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.14 : 2,283.44 = 548.47 : x
  2. Step 2: Convert to fraction form
    1,522.14/2,283.44 = 548.47/x
  3. Step 3: Cross multiply
    1,522.14x = 2,283.44 × 548.47
  4. Step 4: Simplify right side
    1,522.14x = 1,252,384.18
  5. Step 5: Solve for x
    x = 1,252,384.18/1,522.14
  6. Step 6: Final answer
    x = 822.78

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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.