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Finding the Fourth Proportional to 500.80, 690.84 and 334.80

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Solution

The fourth proportional to 500.80, 690.84 and 334.80 is: 461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.80 : 690.84 = 334.80 : x
  2. Step 2: Convert to fraction form
    500.80/690.84 = 334.80/x
  3. Step 3: Cross multiply
    500.80x = 690.84 × 334.80
  4. Step 4: Simplify right side
    500.80x = 231,293.23
  5. Step 5: Solve for x
    x = 231,293.23/500.80
  6. Step 6: Final answer
    x = 461.85

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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.