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Finding the Fourth Proportional to 692.60, 1,036.50 and 663.90

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Solution

The fourth proportional to 692.60, 1,036.50 and 663.90 is: 993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.60 : 1,036.50 = 663.90 : x
  2. Step 2: Convert to fraction form
    692.60/1,036.50 = 663.90/x
  3. Step 3: Cross multiply
    692.60x = 1,036.50 × 663.90
  4. Step 4: Simplify right side
    692.60x = 688,132.35
  5. Step 5: Solve for x
    x = 688,132.35/692.60
  6. Step 6: Final answer
    x = 993.55

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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.