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Finding the Fourth Proportional to 1,103.90, 1,522.62 and 772.41

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Solution

The fourth proportional to 1,103.90, 1,522.62 and 772.41 is: 1,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.90 : 1,522.62 = 772.41 : x
  2. Step 2: Convert to fraction form
    1,103.90/1,522.62 = 772.41/x
  3. Step 3: Cross multiply
    1,103.90x = 1,522.62 × 772.41
  4. Step 4: Simplify right side
    1,103.90x = 1,176,086.91
  5. Step 5: Solve for x
    x = 1,176,086.91/1,103.90
  6. Step 6: Final answer
    x = 1,065.39

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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.