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Finding the Fourth Proportional to 1,522.78, 2,283.28 and 548.48

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Solution

The fourth proportional to 1,522.78, 2,283.28 and 548.48 is: 822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.78 : 2,283.28 = 548.48 : x
  2. Step 2: Convert to fraction form
    1,522.78/2,283.28 = 548.48/x
  3. Step 3: Cross multiply
    1,522.78x = 2,283.28 × 548.48
  4. Step 4: Simplify right side
    1,522.78x = 1,252,333.41
  5. Step 5: Solve for x
    x = 1,252,333.41/1,522.78
  6. Step 6: Final answer
    x = 822.40

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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.