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Finding the Fourth Proportional to 778.77, 1,164.71 and 692.71

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Solution

The fourth proportional to 778.77, 1,164.71 and 692.71 is: 1,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.77 : 1,164.71 = 692.71 : x
  2. Step 2: Convert to fraction form
    778.77/1,164.71 = 692.71/x
  3. Step 3: Cross multiply
    778.77x = 1,164.71 × 692.71
  4. Step 4: Simplify right side
    778.77x = 806,800.44
  5. Step 5: Solve for x
    x = 806,800.44/778.77
  6. Step 6: Final answer
    x = 1,035.99

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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.