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Finding the Fourth Proportional to 499.50, 692.01 and 488.16

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Solution

The fourth proportional to 499.50, 692.01 and 488.16 is: 676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 692.01 = 488.16 : x
  2. Step 2: Convert to fraction form
    499.50/692.01 = 488.16/x
  3. Step 3: Cross multiply
    499.50x = 692.01 × 488.16
  4. Step 4: Simplify right side
    499.50x = 337,811.60
  5. Step 5: Solve for x
    x = 337,811.60/499.50
  6. Step 6: Final answer
    x = 676.30

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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.