Home / 1,129.14-1,692.30-512.67

Finding the Fourth Proportional to 1,129.14, 1,692.30 and 512.67

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Solution

The fourth proportional to 1,129.14, 1,692.30 and 512.67 is: 768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.14 : 1,692.30 = 512.67 : x
  2. Step 2: Convert to fraction form
    1,129.14/1,692.30 = 512.67/x
  3. Step 3: Cross multiply
    1,129.14x = 1,692.30 × 512.67
  4. Step 4: Simplify right side
    1,129.14x = 867,591.44
  5. Step 5: Solve for x
    x = 867,591.44/1,129.14
  6. Step 6: Final answer
    x = 768.36

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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.