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Finding the Fourth Proportional to 1,239.88, 1,861.14 and 692.36

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Solution

The fourth proportional to 1,239.88, 1,861.14 and 692.36 is: 1,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.88 : 1,861.14 = 692.36 : x
  2. Step 2: Convert to fraction form
    1,239.88/1,861.14 = 692.36/x
  3. Step 3: Cross multiply
    1,239.88x = 1,861.14 × 692.36
  4. Step 4: Simplify right side
    1,239.88x = 1,288,578.89
  5. Step 5: Solve for x
    x = 1,288,578.89/1,239.88
  6. Step 6: Final answer
    x = 1,039.28

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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.