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Finding the Fourth Proportional to 692.39, 1,039.09 and 510.28

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Solution

The fourth proportional to 692.39, 1,039.09 and 510.28 is: 765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.39 : 1,039.09 = 510.28 : x
  2. Step 2: Convert to fraction form
    692.39/1,039.09 = 510.28/x
  3. Step 3: Cross multiply
    692.39x = 1,039.09 × 510.28
  4. Step 4: Simplify right side
    692.39x = 530,226.85
  5. Step 5: Solve for x
    x = 530,226.85/692.39
  6. Step 6: Final answer
    x = 765.79

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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.