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Finding the Fourth Proportional to 1,102.75, 1,521.87 and 637

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Solution

The fourth proportional to 1,102.75, 1,521.87 and 637 is: 879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.75 : 1,521.87 = 637 : x
  2. Step 2: Convert to fraction form
    1,102.75/1,521.87 = 637/x
  3. Step 3: Cross multiply
    1,102.75x = 1,521.87 × 637
  4. Step 4: Simplify right side
    1,102.75x = 969,431.19
  5. Step 5: Solve for x
    x = 969,431.19/1,102.75
  6. Step 6: Final answer
    x = 879.10

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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.