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Finding the Fourth Proportional to 461.03, 690.66 and 344.88

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Solution

The fourth proportional to 461.03, 690.66 and 344.88 is: 516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.03 : 690.66 = 344.88 : x
  2. Step 2: Convert to fraction form
    461.03/690.66 = 344.88/x
  3. Step 3: Cross multiply
    461.03x = 690.66 × 344.88
  4. Step 4: Simplify right side
    461.03x = 238,194.82
  5. Step 5: Solve for x
    x = 238,194.82/461.03
  6. Step 6: Final answer
    x = 516.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.