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Finding the Fourth Proportional to 692.20, 1,036.93 and 562.34

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Solution

The fourth proportional to 692.20, 1,036.93 and 562.34 is: 842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.20 : 1,036.93 = 562.34 : x
  2. Step 2: Convert to fraction form
    692.20/1,036.93 = 562.34/x
  3. Step 3: Cross multiply
    692.20x = 1,036.93 × 562.34
  4. Step 4: Simplify right side
    692.20x = 583,107.88
  5. Step 5: Solve for x
    x = 583,107.88/692.20
  6. Step 6: Final answer
    x = 842.40

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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.