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Finding the Fourth Proportional to 1,178.38, 1,768.20 and 692.38

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Solution

The fourth proportional to 1,178.38, 1,768.20 and 692.38 is: 1,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.38 : 1,768.20 = 692.38 : x
  2. Step 2: Convert to fraction form
    1,178.38/1,768.20 = 692.38/x
  3. Step 3: Cross multiply
    1,178.38x = 1,768.20 × 692.38
  4. Step 4: Simplify right side
    1,178.38x = 1,224,266.32
  5. Step 5: Solve for x
    x = 1,224,266.32/1,178.38
  6. Step 6: Final answer
    x = 1,038.94

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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.