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Finding the Fourth Proportional to 500.88, 690.34 and 334.83

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Solution

The fourth proportional to 500.88, 690.34 and 334.83 is: 461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.88 : 690.34 = 334.83 : x
  2. Step 2: Convert to fraction form
    500.88/690.34 = 334.83/x
  3. Step 3: Cross multiply
    500.88x = 690.34 × 334.83
  4. Step 4: Simplify right side
    500.88x = 231,146.54
  5. Step 5: Solve for x
    x = 231,146.54/500.88
  6. Step 6: Final answer
    x = 461.48

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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.