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Finding the Fourth Proportional to 1,133.11, 1,563.78 and 635.79

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Solution

The fourth proportional to 1,133.11, 1,563.78 and 635.79 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.11 : 1,563.78 = 635.79 : x
  2. Step 2: Convert to fraction form
    1,133.11/1,563.78 = 635.79/x
  3. Step 3: Cross multiply
    1,133.11x = 1,563.78 × 635.79
  4. Step 4: Simplify right side
    1,133.11x = 994,232.51
  5. Step 5: Solve for x
    x = 994,232.51/1,133.11
  6. Step 6: Final answer
    x = 877.44

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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.