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Finding the Fourth Proportional to 504.62, 692.56 and 490.95

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Solution

The fourth proportional to 504.62, 692.56 and 490.95 is: 673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.62 : 692.56 = 490.95 : x
  2. Step 2: Convert to fraction form
    504.62/692.56 = 490.95/x
  3. Step 3: Cross multiply
    504.62x = 692.56 × 490.95
  4. Step 4: Simplify right side
    504.62x = 340,012.33
  5. Step 5: Solve for x
    x = 340,012.33/504.62
  6. Step 6: Final answer
    x = 673.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.