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Finding the Fourth Proportional to 692.58, 956.16 and 496.56

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Solution

The fourth proportional to 692.58, 956.16 and 496.56 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.58 : 956.16 = 496.56 : x
  2. Step 2: Convert to fraction form
    692.58/956.16 = 496.56/x
  3. Step 3: Cross multiply
    692.58x = 956.16 × 496.56
  4. Step 4: Simplify right side
    692.58x = 474,790.81
  5. Step 5: Solve for x
    x = 474,790.81/692.58
  6. Step 6: Final answer
    x = 685.54

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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.