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Finding the Fourth Proportional to 1,133.49, 1,563.09 and 884.72

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Solution

The fourth proportional to 1,133.49, 1,563.09 and 884.72 is: 1,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.49 : 1,563.09 = 884.72 : x
  2. Step 2: Convert to fraction form
    1,133.49/1,563.09 = 884.72/x
  3. Step 3: Cross multiply
    1,133.49x = 1,563.09 × 884.72
  4. Step 4: Simplify right side
    1,133.49x = 1,382,889.17
  5. Step 5: Solve for x
    x = 1,382,889.17/1,133.49
  6. Step 6: Final answer
    x = 1,220.03

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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.