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Finding the Fourth Proportional to 1,102.46, 1,521.59 and 824.09

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Solution

The fourth proportional to 1,102.46, 1,521.59 and 824.09 is: 1,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.46 : 1,521.59 = 824.09 : x
  2. Step 2: Convert to fraction form
    1,102.46/1,521.59 = 824.09/x
  3. Step 3: Cross multiply
    1,102.46x = 1,521.59 × 824.09
  4. Step 4: Simplify right side
    1,102.46x = 1,253,915.37
  5. Step 5: Solve for x
    x = 1,253,915.37/1,102.46
  6. Step 6: Final answer
    x = 1,137.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.