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Finding the Fourth Proportional to 729.08, 1,086.25 and 692.36

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Solution

The fourth proportional to 729.08, 1,086.25 and 692.36 is: 1,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.08 : 1,086.25 = 692.36 : x
  2. Step 2: Convert to fraction form
    729.08/1,086.25 = 692.36/x
  3. Step 3: Cross multiply
    729.08x = 1,086.25 × 692.36
  4. Step 4: Simplify right side
    729.08x = 752,076.05
  5. Step 5: Solve for x
    x = 752,076.05/729.08
  6. Step 6: Final answer
    x = 1,031.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.