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Finding the Fourth Proportional to 1,131.10, 1,692.87 and 644.02

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Solution

The fourth proportional to 1,131.10, 1,692.87 and 644.02 is: 963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.10 : 1,692.87 = 644.02 : x
  2. Step 2: Convert to fraction form
    1,131.10/1,692.87 = 644.02/x
  3. Step 3: Cross multiply
    1,131.10x = 1,692.87 × 644.02
  4. Step 4: Simplify right side
    1,131.10x = 1,090,242.14
  5. Step 5: Solve for x
    x = 1,090,242.14/1,131.10
  6. Step 6: Final answer
    x = 963.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.