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Finding the Fourth Proportional to 500.00, 692.78 and 488.66

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Solution

The fourth proportional to 500.00, 692.78 and 488.66 is: 677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.00 : 692.78 = 488.66 : x
  2. Step 2: Convert to fraction form
    500.00/692.78 = 488.66/x
  3. Step 3: Cross multiply
    500.00x = 692.78 × 488.66
  4. Step 4: Simplify right side
    500.00x = 338,527.97
  5. Step 5: Solve for x
    x = 338,527.97/500.00
  6. Step 6: Final answer
    x = 677.06

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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.