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Finding the Fourth Proportional to 1,127.96, 1,692.06 and 689.96

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Solution

The fourth proportional to 1,127.96, 1,692.06 and 689.96 is: 1,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.96 : 1,692.06 = 689.96 : x
  2. Step 2: Convert to fraction form
    1,127.96/1,692.06 = 689.96/x
  3. Step 3: Cross multiply
    1,127.96x = 1,692.06 × 689.96
  4. Step 4: Simplify right side
    1,127.96x = 1,167,453.72
  5. Step 5: Solve for x
    x = 1,167,453.72/1,127.96
  6. Step 6: Final answer
    x = 1,035.01

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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.