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Finding the Fourth Proportional to 692.76, 956.02 and 382.24

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Solution

The fourth proportional to 692.76, 956.02 and 382.24 is: 527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.76 : 956.02 = 382.24 : x
  2. Step 2: Convert to fraction form
    692.76/956.02 = 382.24/x
  3. Step 3: Cross multiply
    692.76x = 956.02 × 382.24
  4. Step 4: Simplify right side
    692.76x = 365,429.08
  5. Step 5: Solve for x
    x = 365,429.08/692.76
  6. Step 6: Final answer
    x = 527.50

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1.5x scale

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.