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Finding the Fourth Proportional to 692.68, 953.94 and 637.96

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Solution

The fourth proportional to 692.68, 953.94 and 637.96 is: 878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.68 : 953.94 = 637.96 : x
  2. Step 2: Convert to fraction form
    692.68/953.94 = 637.96/x
  3. Step 3: Cross multiply
    692.68x = 953.94 × 637.96
  4. Step 4: Simplify right side
    692.68x = 608,575.56
  5. Step 5: Solve for x
    x = 608,575.56/692.68
  6. Step 6: Final answer
    x = 878.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.