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Finding the Fourth Proportional to 774.44, 1,162.35 and 692.04

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Solution

The fourth proportional to 774.44, 1,162.35 and 692.04 is: 1,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.44 : 1,162.35 = 692.04 : x
  2. Step 2: Convert to fraction form
    774.44/1,162.35 = 692.04/x
  3. Step 3: Cross multiply
    774.44x = 1,162.35 × 692.04
  4. Step 4: Simplify right side
    774.44x = 804,392.69
  5. Step 5: Solve for x
    x = 804,392.69/774.44
  6. Step 6: Final answer
    x = 1,038.68

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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.