Home / 1,522.32-2,283.50-548.38

Finding the Fourth Proportional to 1,522.32, 2,283.50 and 548.38

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Solution

The fourth proportional to 1,522.32, 2,283.50 and 548.38 is: 822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.32 : 2,283.50 = 548.38 : x
  2. Step 2: Convert to fraction form
    1,522.32/2,283.50 = 548.38/x
  3. Step 3: Cross multiply
    1,522.32x = 2,283.50 × 548.38
  4. Step 4: Simplify right side
    1,522.32x = 1,252,225.73
  5. Step 5: Solve for x
    x = 1,252,225.73/1,522.32
  6. Step 6: Final answer
    x = 822.58

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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.