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Finding the Fourth Proportional to 778.89, 1,164.90 and 692.83

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Solution

The fourth proportional to 778.89, 1,164.90 and 692.83 is: 1,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.89 : 1,164.90 = 692.83 : x
  2. Step 2: Convert to fraction form
    778.89/1,164.90 = 692.83/x
  3. Step 3: Cross multiply
    778.89x = 1,164.90 × 692.83
  4. Step 4: Simplify right side
    778.89x = 807,077.82
  5. Step 5: Solve for x
    x = 807,077.82/778.89
  6. Step 6: Final answer
    x = 1,036.18

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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.