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Finding the Fourth Proportional to 1,161.82, 1,603.41 and 637.95

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Solution

The fourth proportional to 1,161.82, 1,603.41 and 637.95 is: 880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.82 : 1,603.41 = 637.95 : x
  2. Step 2: Convert to fraction form
    1,161.82/1,603.41 = 637.95/x
  3. Step 3: Cross multiply
    1,161.82x = 1,603.41 × 637.95
  4. Step 4: Simplify right side
    1,161.82x = 1,022,895.41
  5. Step 5: Solve for x
    x = 1,022,895.41/1,161.82
  6. Step 6: Final answer
    x = 880.43

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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.