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Finding the Fourth Proportional to 499.26, 692.31 and 482.88

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Solution

The fourth proportional to 499.26, 692.31 and 482.88 is: 669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.26 : 692.31 = 482.88 : x
  2. Step 2: Convert to fraction form
    499.26/692.31 = 482.88/x
  3. Step 3: Cross multiply
    499.26x = 692.31 × 482.88
  4. Step 4: Simplify right side
    499.26x = 334,302.65
  5. Step 5: Solve for x
    x = 334,302.65/499.26
  6. Step 6: Final answer
    x = 669.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.